Category Archives: 2.1 Curriculum

Spanish Grammar Lesson on Gender

This lesson would take place over a number of days in smaller chunks rather than as one solid lesson.

Lesson Plan

Class/Group: P3/4                                Lesson: Spanish- Gender                       Date:

 

Previous Experience

Describing myself

Working towards outcomes of a Curriculum for Excellence

I am beginning to share information about myself using familiar vocabulary and basic language structures.

MLAN 1-02b

I am beginning to use illustrated word-banks, picture prompts, picture dictionaries and displays to support my understanding of simple texts.

MLAN 1-11a

With support, I am beginning to experiment with writing in the

language I am learning

MLAN 1-13

Learning Intentions Success Criteria
To learn how the gender of words relating to the family. I will look for patterns in words and their gender.

I will be able to correctly identify the gender of a word.

I can sort the members of family in Spanish by gender.

I can talk to a shoulder partner about what family I have.

I can listen and take turns in a conversation.

I can change an adjective to suit the gender of the word it is describing.

 

Resources Powerpoint, IWB, dice, mini whiteboards, picture cards
Timing Assessment methods
 

15 minutes

 

 

 

5 minutes

10 minutes

 

10 minutes

 

10 minutes

 

 

10 minutes

 

10 minutes

 

 

10 minutes

Setting the context/Beginning the lesson (Introduction)

Discussion of what we learnt during the previous lesson.

 

Write on whiteboards any words they remember from last lesson.

 

Ask if anyone knows any words for the members of the family.

 

Teaching the learning intentions (Development)

 

Discuss learning intention and success criteria with pupils.

With the use of the powerpoint, discuss how we determine the gender of a family member and when we use el/la and un/una.

 

Game of bingo to practice words and determine understanding. (Listening)

 

In pairs, roll the dice with the different members of the family on it and determine if it is el/la. Form a sentence which includes this member of the family. (Talking and listening)

 

In table groups, sort the picture/word cards under the headings of el/la. (Reading)

 

Just as before, roll the dice and form a sentence including this person. This time write the sentence in workbooks.

 

Ending the lesson (Plenary)

 

Using the mini whiteboards, ask pupils to write down a word they learned today. Ask them to write down words such as ‘the mother’ to determine understanding.

Discuss with pupils how they found the work- was it too hard or too easy? Was there anything they struggled with? How did they overcome problems? (dictionary, shoulder partner, ask teacher)

 

 

 

 

Discussion

 

 

 

 

 

 

 

Discussion

 

 

 

 

Teacher observation

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Teacher observation and discussion

Ideas for Exploring Texts

As part of our modern languages elective, we had to find three different types of text that we could use in the primary classroom. I thought this task would be quite simple, however, it was difficult to find texts that weren’t too difficult for pupils. Here are the texts I chose:

Menu

Image result for spanish menu template

I quite like this resource as it is visually appealing and whilst it contains quite a bit of text, the main information can be found through the headings and subheadings. I like how this text is divided up by the meals of the day, contact information and general information. I would aim this text towards P5/6 as younger pupils can consider the headings whilst older pupils can go deeper into meal descriptions.

The questions I would ask my pupils would be:

  • What type of text do you think this is? (does looking at the structure and layout of the text give them any clues?).
  • What is the purpose of the text? (to advertise, to inform etc?)
  • What is the topic of the text? (look at pictures to help)
  • What are the main parts of this text? (breakfast, lunch, dinner, contact details and information)
  • Do you recognise any of the vocabulary? (theme begins to build up without reading the whole text).
  • Who is the target audience? (children, adults, families etc?)
  • Can you find any words in Spanish that look similar to words in English (cognates)? (this will aid understanding of the text and help to build learner confidence).
  • Are there any words that you don’t recognise? (if so, look them up in a dictionary)

Activities:

  • Children could ask and tell their shoulder partner what they would order and how much it would be. (for deeper conversations, more vocabulary required)
  • To determine understanding, children could answer basic comprehension questions in English.
  • Pupils could recreate the menu.
  • Pupils could create their own menu for a restaurant (more vocabulary required)
  • In groups, children could research traditional Spanish foods and what they eat at different fiestas and holidays.

Advert

Fanta

I really like this text as it is bright and colourful with a nice amount of text along with some images to engage children. Whilst this text doesn’t have a lot of writing, it is quite complex in places as it only contains imperatives. To introduce imperatives, I think it would be best to use them in classroom routines and instructions verbally. This way children may recognise them in this text and can determine their meaning. I would aim this text at P6/7 due to the use of imperatives and vocabulary.

The questions I would ask my pupils would be:

  • What type of text do you think this is? (does looking at the structure and layout of the text give them any clues?).
  • What is the purpose of the text? (to advertise, to inform etc?)
  • What is the topic of the text? (look at pictures to help)
  • Do you recognise any of the vocabulary? (theme begins to build up without reading the whole text).
  • Who is the target audience? (children, adults, families etc?)
  • Can you find any words in Spanish that look similar to words in English (cognates)? (this will aid understanding of the text and help to build learner confidence).
  • Are there any words that you don’t recognise? (if so, look them up in a dictionary)

Activities:

  • Conversation- saying what their favourite drink is and asking their partner (additional vocabulary support required)
  • Recreate the poster using different adjectives.
  • Create their own poster for their favourite drink (additional vocabulary support required).

Brochure

I found it extremely challenging to find a holiday brochure that was suitable for primary aged children. This would be far too difficult for 4-11 year olds, however, I do believe that P7 could look at the brochure on a basic level and not go into depth. They could look at what aspects of Havana are being discussed and find any words they recognise or cognates to form a general understanding of the text. Children could create their own brochure for their town with some lessons on the general places and things to do in the town vocabulary.

Screenshot 2016-04-21 at 8.53.38 PM

Screenshot 2016-04-21 at 8.56.50 PM

1 + 2 Approach- Are we really moving forward?

What is it?

Related imageThe 1 + 2 Approach is a Scottish based policy which aims for all children to leave primary school having learnt two languages alongside their mother tongue. An additional language will be introduced in Primary 1 and a second  additional language will be introduced in Primary 5. Often, French is the first additional language and Spanish/German is the second. However, other languages may be taught.

Benefits

Image result for benefits of modern languages– expands horizons and allows pupils to explore the world;

– The need to learn languages is increasing with more global interactions thus learning  languages helps young people to improve their employability;

– in an interview with BBC Radio 5, Antonella Sorace explains that learning another language facilitates an understanding of how all languages work including their mother tongue (Stephen Nolan Show, 2018) i.e. learning another language helps children to understand their L1 better;

– helps them to learn and understand other cultures and people better. This helps to develop a better understanding of the world around them and the idea of diversity (Stephen Nolan Show, 2018);

– at a younger age, our brains can process languages better therefore the earlier language learning starts, the better;

– communication skills. Languages help pupils cognitive development.

– other countries know English whereas we don’t know their languages- it can be easy for us to just be lazy and let them speak English instead of challenging ourselves;

– confidence to travel to other countries and help those who come to our country if we can speak their language;

– helps communication with immigrants;

-more chances to do language at secondary level;

– development of teacher confidence.

Implementation

Image result for modern languages in primary schools

– cross curricular- use the language in other subjects e.g. do some calculations in French;

– bring languages into routines too e.g. register, dinners;

– vary lesson time and make sure that lessons are not too long- little and often;

– get a native speaker to come in- this may help children to perfect their accent;

– various activities to teach the language- games, songs;

– explore the culture e.g. food tasting, geography research;

– start off simply with games and fun activities;

– partner up with a school in the other country to create a link- could do pen pals;

– contact with the secondary schools (language pedagogy and pupil transition);

– whole school approach (greetings, participation);

– choice of L2 and L3- choose languages that come from the same linguistic family so that one language helps the other e.g. French and Spanish.

Image result for problems clipartPotential gaps and issues/problems that might appear

– interference with learning English as they are basically learning two languages at once- no interference however there could still be confusion for children;

– children learning at different paces and some may grasp concepts a lot quicker than others;

– teachers lacking in confidence and lack of knowledge in language skills or in language pedagogy;

– timetabling issues- languages would be the first thing to go- this is why it is so important to incorporate languages into other subject areas;

– introduction of a third language in P5 may be too much for some children e.g. for Polish immigrant who needs to learn English anyway. Decreased quality of language if too many are taught?;

– resources for modern languages- adding another subject=less funding and then teaching 2 languages requires more resources;

– assessment may prove difficult as you don’t want to put pressure on the children and can’t really do oral presentations;

– continuity between primary and secondary- we start two languages at primary languages with no digital resources and set timings, they start secondary and go back to the basics. Secondary teachers are unaware of children’s level of language. Kids start language from beginning and hate it because it is boring and repetitive or they start a completely new language;

no assessment- so that kids and teachers know where they are at in the language;

– no progression;

– different experiences in each school- if in primary school, they were keen for languages you get lots of input, if not, no language experience before secondary school and may find it harder when they enter secondary school;

– no guidelines- no e’s and o’s for early or first level;

– social stigma- other subjects seen as more important, people aren’t well informed, a lot of myths regarding modern languages, attitude of English being a lingua franca- why do we need other languages?,  parents and adults around them cause a preconception of what languages are like- same with mathematics;

– training opportunities- need to be free for teachers;

– idea of getting away from learning vocab lists and learning how to actually communicate with other speakers;

– Issue of what languages do we teach!? How do we as teachers decide which languages are best to learn and would provide the most benefits.

Reflections on the policy

Image result for my thoughtsI think the policy is a great idea. The younger children are the more sponge like their brain is and this learning of modern languages aids cognitive development. As someone who did A level Spanish, I believe that the learning of languages aids understanding of your mother tongue. By teaching languages, we can help open doors and provide opportunities for children to explore the world around them and the various cultures within the world. An understanding and appreciation for other cultures can be developed through the implementation of modern languages and this helps children to understand the concept of diversity. As the number of immigrants increases, I believe it is important that they feel included; by teaching modern languages this could be a key to making them feel accepted and welcomed into their new society. I think that by integrating languages into other subjects, we can make learning fun and often children do not realise they are learning when languages are linked into routines and other subjects. However, I do agree that there are many challenges to this policy, one of which is the lack of knowledge and skills that teachers have. There is a clear lack of knowledge and confidence in teachers as they did not all study languages at school. Additionally, funding for modern languages is currently insufficient. I do, however, believe that these issues can be overcome with time and effort. I believe that we as teachers need to be open minded and willing to take on the challenges that teaching modern languages will present as ultimately I think the outcomes will outweigh the difficulties. I think by implementing this strategy, we can move forward in language learning towards a more equipped and socially accepting society.

References:

Stephen Nolan Show (2018), BBC Radio 5, 17 August. Available at: http://www.bbc.co.uk/programmes/b0bf4rnv (Accessed: 19 September 2018).

The Final Wrap Up

This placement has provided me with several learning opportunities and I am developing my own educational philosophy and teacher style. I was fortunate to have such a wide range of experiences during the six weeks with school trips, sports competitions and one to one observations. Gaining insight into these aspects has allowed me to grow in confidence of what is to face me as a teacher. I think by going on school trips as a student, I will be better prepared for when I need to plan one as a qualified teacher.

At the beginning of placement, I was not feeling confident in my ability to be a teacher. I think my tough placement last year made me really doubt myself and wonder if this career is the one for me. I now feel more confident in my ability to deliver a lesson. Last year, I was constantly feeling I needed to refer to my lesson plan and stick to it. Whereas, this year I was confident enough to teach the lesson without looking at my plan and was able to take the learning wherever the children led it (within reason!).

I have found lesson plans are coming more naturally to me and I am getting the learning intentions and success criteria are appropriate. Clarke (2001, pp. 19) believes that sharing the learning intentions is the first step to formative assessment. Research has found that children are more motivated and focused when they know what the objective of the task is. I have developed an ability and understanding of how to gauge a lesson right for each child and differentiate accordingly. I know that I still have a long way to go with my confidence and just trust my own judgement as if I act confident the children will trust me. Whilst I have taken some risks on this placement, I think it is important for me to challenge myself to continue taking them as I need to build up my confidence by seeing that risks sometimes do pay off. 

As a student who was educated in Northern Ireland until coming to Dundee for university where I have experienced 6 weeks of the Scottish Curriculum for Excellence, I have found it interesting to compare the two systems. I would say that the aims of each subject area are more specific in the Experiences and Outcomes. With NI, it is less specific on what topic the learning would be on and is instead about developing the skills. Additionally, whilst Scotland has standardised testing at the end of P1, P4 and P7 in primary school, Northern Irish children are assessed every year through teacher assessment and planned tasks and activities. Formal results, in the form of levels, are reported to parents at the end of primary 4 and 7. Certainly, from this experience I would say that Northern Ireland schools are more open to expressing and exploring Christian values. This, however, may just be the case for a few schools rather than the majority in NI.

Last year, my class were extremely difficult for all staff and myself to manage. This meant that my tutor’s feedback on my behaviour management was poor, decreasing my confidence in myself. This placement has really helped me to build this confidence up as the class have been well settled I adapted a firm but fair approach with the pupils which appeared to work as they respected me whilst we also had fun together. Pitt (2001, pp.155) believes that the best ways to support good class management are to vary the type of activity to cater for different learning styles, link learning to children’s interests and maximise the time spent on direct teaching. I tried to incorporate this into my lessons. During my time on placement, I tried to minimise interruptions, however, it is not always possible to avoid interruptions e.g. children from another class with a message. I felt my expectations were clear so the children were not distracted or likely to interrupt e.g. talking or playing with pencils. The class teacher was very impressed with my control over the class and didn’t see any cause for concern.

I really appreciated getting to see some work with children who have additional support needs as this wasn’t something that I experienced on placement last year yet is likely to be extremely common in my future classes. I feel better equipped to deal with these situations, however, each situation and how I approach it will be unique to each child.

I tried to work on cross curricular learning during this placement. My main literacy topic of the Lighthouse Keeper provided many opportunities to link learning to crafts, RE and even data handling. I planned to read Jack and the Beanstalk to lead into measuring and planting beans but unfortunately as I learned there can be interruptions during the school day. I developed a confidence and ability to deal with change and take over from the class teacher without notice.

Finally, the types of assessment I saw in action have helped to inform my practice and consider how I might assess future learning. Clarke (2001, pp.40) suggests training children to self evaluate e.g. what made you really think? What helped you (e.g. a friend, a teacher, wall display) when you found something tricky? What are you most pleased with about this lesson? This helps improve self esteem as pupils feel more confident with admitting they were wrong and what they did to try and help themselves. The school has adopted the following assessment for learning strategies:

  • “No hands up, its thinking time” – this means that all children need to think as the teacher could ask anyone. Children cannot hide and not make an effort, everyone needs to try.
  • Positive discipline- rewarded or praised for good work in the hope that others will change their behaviour to follow the example of the hard working pupil
  • Traffic lights- red “I need help”, amber “It’s making me think but I can manage on my own.” And green “I understand this well”
  • Response partners- In pairs the children read each others work and write some comments about it. For younger children, this could be an oral activity.
  • 2 stars and a wish
  • Self assessment at the end of a topic using traffic light colours

Overall, this placement has been a great success and I am feeling more content with teaching as my chosen profession.

References:

Clarke, S. (2001) Unlocking Formative Assessment. Bristol: Hodder Headline Group.

Pitt, E. (2001) Ready, Set, Go – Maths. Interboard Numeracy Group.

Jump Rope for Heart

During my placement, I was given a teacher’s handbook on the introduction and use of skipping to improve and inform pupils of how to keep their heart healthy. It was put together by the British Heart Foundation and discusses the benefits to the heart as well as additional pros such as boosting self esteem (British Heart Foundation, 1999).

All of the citations in this blog post are from the British Heart Foundation’s Teacher Handbook (1999).

The Jump Rope for Heart initiative is all about getting children exercising and keeping healthy whilst having fun.through skipping. It is a whole body activity that uses the large muscle groups in the legs, helping to improve overall co-ordination and body streng

th. As it is a weight-bearing activity, it helps with bone density and the management of weight along with a balanced diet. This is important as there is a rise in childhood obesity. Additionally, skipping has the potential to enhance self esteem and self image as well as improve timing and rhythm (pp.5).

 

 

Jump Rope for Heart fits well into the curriculum of both NI and Scotland with teaching requirements including encourage pupils to be physically active and engagement in physical activities that develop cardiovascular health, flexibility and muscular strength and endurance (pp.7.

Skipping is nto limited to physical education lessons. It could be incorporated into creative writing, music or mathematical experiments. It allows for exploration of the effects on exercise on the body for older pupils (pp.11).

Teachers should start right at the basics i.e. without the rope. This sounds a bit strange for a skipping programme but it is important pupils know how to land correctly and safely when they jump. Next is keeping to a rhythm, perhaps by putting some music on as pupils skip. Some pupils may benefit from group or partner skipping in order to further develop their skills and increase their confidence. Once pupils are ready they could move onto more complex techniques such as spinning around or side swings with the rope. Skipping rhymes could be introduced for children to jump along too. This will help challenge children to keep in time to a song (pp. 84-100).

I would definitely consider using this programme with future classes as there are so many benefits to it. Children can work at whatever level they feel most comfortable at allowing for differentiation. Everyone is able to join in, no matter their age, gender or ability. I think this could be a really enjoyable project for pupils. It does not have to be limited to PE classes and can be adapted to suit the interests and needs of the class e.g. if they have a great interest in maths, they could do experiments involving the length of rope and the time taken to jump 15 times.

References:

British Heart Foundation (1999) Jump Rope for Heart: Teacher’s Manual. 

The Lighthouse Keeper- Cross Curricular Learning

The Lighthouse Keeper book series allowed us to explore lighthouses through craft, play, mathematics and RE. We made our very own lighthouses which are now being used a night lights in the children’s bedrooms. We also had some play sessions focussing on lighthouses and the Grinlings. This featured some lovely paper basket making, lighthouses made from Lego and even a lighthouse inspired marble run. We linked Mr Grinling’s sandwiches into our own sandwich making and even used our mathematical brains to complete a tally chart and a pictograph. We even looked at a very special person’s own picnic when we learned all about Jesus feeding the five thousand. Below are some videos and pictures of the things we got up to:

A pictograph showing the class’ favourite sandwiches.

The pupils were very proud of their hard work.

One pupil created a marble run inspired by the lighthouses we were learning about.

The pupils were able to practice their social and numeracy skills whilst running the beach hut.

It’s the Final Countdown

Another week is done and dusted which means there is just one week left of placement in second year. In ways I am relieved that I am almost finished as I am exhausted and cannot wait for a lie in. However, I am starting to feel sad about leaving my little class as they are such a delight to be around and teach.

This week had a rough start between being sick and then spilling coke all over my laptop so I had a broken laptop and a messed up head and stomach- not the best start to the week. Unfortunately, I was in no state to go into school on Monday or Tuesday so that was quite a lot of teaching time out the window for me but there was no way I could have delivered effective lessons.

I continued with my reading group this week but with being off for the first two days, we were running slightly behind schedule.I found that some of the children were testing me as they tried to tell me that they had already read the whole book- they had only read half of it on Tuesday. We finished off the book and all pupils completed their worksheet well. They understood what they needed to do and were able to finish it with little help. This shows that the worksheet was at a good level for them. I felt I took no nonsense and managed the group well. On the second day, the children were quite unsettled and found it hard to concentrate and listen when it wasn’t their turn. 

There were a lot of disruptions as pupils were being assessed by  a college student on their reading level. Two children acted up quite a bit even after several reminders of the rules. I found it quite difficult on Thursday as they were so distracted but I felt I dealt quite well with it by asking those acting up to read a little bit more to engage them. Again, the worksheet was gauged at the right level for the pupils and most children completed it. There were a couple who did not manage to complete it due to being taken out for assessment.

On Wednesday, I did a lesson on writing about a character and related it to The Lighthouse Keeper book series. We looked at the character of Mr Grinling. It was important for me to model what I expected the students to do. I did this by gathering all the students up to the front of the classroom and explaining the worksheet in detail. We considered who Mr Grinling is and what family he has and his physical features. We looked at what he does and where he lives to give a more detailed description of the character. By having a word bank at the bottom of the page and going through these words, I think it helped the children to complete the task and know exactly what they were meant to be doing. The children responded well to this activity and were engaged throughout. They couldn’t wait to share their sentences about Mr Grinling with the rest of the class. I believe it is very important to use topics such as The Lighthouse Keeper across several subject areas as it helps the children to dive deeper into the story and adds an element of enjoyment rather than some plain and simple sums. My main learning point from this lesson was to always put the writing part at the top of a worksheet rather than a drawing part.

On Thursday, I was teaching the children about tally charts. They had touched on the topic before but some pupils weren’t sure about tally charts so I took it right back to the basics. I once again modelled how the children should do their work whilst allowing them to have a go on the whiteboard. I think this is important as many children learn by doing something rather than listening to how we do it. This also helped me to see if they were grasping the concept. The worksheet was all about finding out each pupil’s favourite sandwich and recording our results. I decided it would be chaotic for the children to go round and ask each classmate their favourite sandwich plus the results would likely be inaccurate. Instead, I thought we should take it slow and do it together as a class asking each pupil what their favourite sandwich and ensuring each pupil put the tally mark in the correct row. I felt this worked well as pupils were able to help one another and had to listen to one another. No one ever seemed fed up by the slower pace and no one was left behind. By the end, everyone had completed their tally chart and created their own sandwich out of paper for the class tally chart wall display. My time management was really good with everyone getting the work done in the set time. I felt my behaviour management was good with no children talking over one another and no acting up. I would definitely use this activity again in the future as the children were so engaged and so eager to share their favourite sandwiches. Next time, I would consider using pictures to help those who cannot read as this meant it was harder for them to keep up and they required more support. This was a great link to The Lighthouse Keeper’s Picnic and Lunch stories.

I found it quite funny as Friday was a ‘Break the Rules’ day which involved 6 rules that the children could break for £1 each. The rules were:

  1. Dye your hair or a wacky hairstyle
  2. Wear a weird hat
  3. Wear your pyjamas instead of your school uniform
  4. Bring in a cuddly toy
  5. Bring an unhealthy snack for break
  6. Don’t do your homework

This was a great idea as each class raised about £80 gathering more money than a non-uniform day. As a treat on Friday, during play time the children made sandwiches with me in groups of 4 or 5. This was quite funny as they were making sandwiches in their pyjamas and onesies! They really enjoyed this especially with reading all about Mr Grinling’s lunch and picnic and seeing what my perfect picnic would be. These practical and fun cross curricular activities are a great way to link topic learning and bring it to life. Cross curricular learning provides opportunities to further develop skills and values and creates richer learning opportunities (Centre for Global Learning, undated, p.5). It linked in nicely with our data handling on our favourite sandwiches the day before. There were some odd combinations of sandwiches with chocolate spread and cheese sandwiches and chocolate spread and ham!

The lighthouse craft continued this week for me but unfortunately not for the children as the lighthouses needed to be glued onto the cardboard bases which the children had already painted. This involved me using the glue gun which I had used on many occasions before but unfortunately I experienced the joy of getting burnt by it as the glue dripped off a Pringles tube onto my wrist-ouch!

Recently, I have observed the class teacher using primary movement particularly after break or lunch or when the children are unsettled. These are different body movements which require children to focus and give their full attention if they are to do it right. Interestingly, those children who do it right often yawn. These movements allow children to relax and have been shown to improve handwriting. 5-10 minutes with a dyslexic child improves concentration and helps to calm them. Primary movement is all about replicating the movements of the foetus in the womb. This triggers the integration of retained primary reflexes, which contribute to behavioural, educational and emotional difficulties. At the age of one, the primary reflexes system turns off and our movements are controlled more by thought than by reflex. However, problems arise when the primary reflexes continue after their normal time span. If this continues, there can be problems with neuro-development which in turn may affect educational functioning and has been linked to a diverse range of learning difficulties such as dyslexia (The Learning Clinic, undated). It only takes about 10 minutes each day for 6 months for it to be effective and have a significant impact on a child’s learning and behaviour.

It has been a bit of a weird week with being off for two days and then having the ‘Break the Rules’ day as it has thrown me out of routine slightly. I am looking forward to next week as I hope it will be fun between getting the lighthouses finished and doing some more teaching. I hope it doesn’t go too quickly as I want to enjoy it and know that I will be sad when Friday comes especially with it being a half day. I think I am probably the only person who is disappointed that this week is only 4.5 days long!

References:

Centre for Global Learning (undated) Cross-curricular approaches to global learning: Guidance for primary schools. Available at: http://www.centreforglobaleducation.org/documents/Global_Learning_Cross-Curricular_Document_Primary.pdf (Accessed: 29 April 2018).

The Learning Clinic (undated) Movement Therapy- Primary Movement. Available at: http://www.thelearningclinic.ie/index.php/programs/movement-therapy/ (Accessed: 29 April 2018).

Can Maths be Creative?

I personally believe that often in today’s world we can limit the idea of maths to calculations, equations and many hours of working things out. We don’t take time to consider just how complex and essential this subject is. Hom (2013) describes maths as “the science that deals with the logic of shape, quantity and arrangement”. It is not just something we do in a textbook to pass time, it can be applied to the real world and is the “building block” in all we do (Hom, 2013). It is all around us- in nature, music and photography.

Have you ever looked around at the beauty of creation and thought just how wonderful it is how everything comes together? How each hexagonal structure in honeycomb is so perfect and they all fit together? Or how symmetrical a butterflies wings are? How about the enormous amount of detail in a sunflower? A huge amount of maths is within this. I live near the Giant’s Causeway and have visited it too many times to count yet without fail every time I go I am always mesmerised by how the hexagonal rocks all fit together to form such a beautiful tourist spot. With Eddie, we looked at the art of a tessellation and the level of maths required to produce one. As the shapes need to fit perfectly together with no gaps or overlaps, you must consider the shapes you use e.g. you cannot use a pentagon by itself. The regular shapes that do tessellate are: squares, hexagons and equilateral triangles. All triangles and quadrilaterals also tile but they are not ‘regular’ shapes and you often have to rotate them to make them fit together. These shapes are, however, congruent, which means they are the same size. These congruent, irregular shapes make the monohedral tessellations (Valentine, 2017).

Tessellations of congruent shapes, such as above, are called monohedral tessellations. The word monohedral literally means ‘one’ – mono and ‘shape’ – hedral. Regular tessellations are made up of only one regular shape repeated, whilst semi-regular tessellations are made up of two or more regular shapes tiled to create a repeating pattern. A lot of Islamic art uses tessellations of equilateral triangles, squares and hexagons. Furthermore, in Spain there are many examples of art in tiling such Park Güell in Barcelona.

Interestingly, a family friend of mine is very involved with training teachers in mathematics and has created a course about learning mathematics through patchwork (Brown, 2017). I think this is an excellent idea. Not only is it creative and involves maths but is something that the children could make a mini version of to take home or make as an entire class for a display. This would be something for children to be proud of and they could feel a sense of achievement once completed. It would be a good cross-curricular link. I would consider this idea for an upper years class due to the materials required. It has inspired me to think of an activity for younger pupils where they can stick pieces of fabric onto paper to create their own tessellations.

Here is what my group came up with:

                           

The Fibonacci sequence has a huge part to play in the formation of sunflowers. This is a sequence made up of numbers where each number is determined by adding together the previous two numbers. For example- 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 etc. Some scientists and keen beans on flowers have counted the seed spirals in a sunflower to confirm that it was indeed made up of the Fibonacci sequence. This is very common across a lot of plants and flowers and is actually why finding a four-leaf clover is considered so lucky as there are so few! Scientists believe that flowers form this way as it is the most efficient way to do so- they can “pack in the maximum number of seeds if each seed is separated by an irrational-numbered angle” such as Phi or the golden ratio (Life Facts, 2015). We looked into this a bit further with Anna Robb by dividing the length of our rectangles for the golden spiral by the width which came to a number very close to Phi (1.618…). The following video explains what we did in class (Graff, 2014).

Snowflakes are another example of maths in nature. They exhibit six-fold radial symmetry, with elaborate, identical patterns on each arm. Snowflakes are made entirely of water molecules which have solidified and crystallised to form weak hydrogen bonds with other water molecules. The bonds maximise attractive forces and reduce repulsive forces, allowing the snowflake to form its hexagonal shape (Life Facts, 2015). Isn’t it amazing how no two snowflakes are identical yet every snowflake is completely symmetrical? I wondered how this could happen and Life Facts (2015) gave me an answer- As no two snowflakes fall from the sky at the exact same time, they experience unique atmospheric conditions such as wind and humidity. This means that there is a different effect on every snowflake and how the crystals form. Each arm of the snowflake goes through identical conditions and therefore crystallises in the exact same way, resulting in a symmetrical snowflake.

During my placement in first year, I decided to do a lesson on how to draw a compass rose with Primary 6. This involved a lot of angle work to ensure that each point was at an equal angle to ensure the whole compass shape would work. It also involved consideration of the radius of circles and how to use a compass and ultimately the idea of direction. I found it quite a complicated lesson to teach as it required a high degree of accuracy which some of the children struggled with as many of them had not used a compass before. Furthermore, the whole class had only looked at using a protractor to measure and draw angles for the previous two lessons so lacked experience. I am, however, glad that I used this as a lesson as it was interesting and the children enjoyed the link between maths and art to produce their own compass. Here is the link to the process of drawing a compass rose (https://www.wikihow.com/Draw-a-Compass-Rose) and a photo of my final product.

Maths is even required in photography. Many photographers use the ‘Rule of Thirds’ to set up their photos. This is where the image in broken down into 9 sections using 4 lines. The idea is that if you capture an image where the main object/focus is placed along the lines or the intersections, the photo will be more natural and pleasing to the viewer instead at the centre of the shot (Rowse, no date). Another method photographers use is balancing elements. This is similar to the rule of thirds and is simply placing a focal point off centre to create a more interesting image, however, this means there is empty space at the opposite side. This is where balancing elements comes in- you place another similar object at the other side to balance the photo out- known as formal balance. Informal balance is when you place two varying objects at opposite sides of the image (Google, no date). Leading lines are another method used in photography in which straight objects such as roads are used to draw the viewer’s eye to the image and connect the foreground to the background (McKinnell, no date). The final method photographers use is symmetry and patterns within photos to create a balanced and aesthetically pleasing image (DMM, no date).

It is clear that maths is not just limited to textbooks, endless calculations and equations, it goes much further into the world of creative arts. I believe that more mathematical links need to be made within the classroom in subjects such as art to help child to explore all that the wonderful world of maths has to offer.

Brown, J. (2017) Learning Mathematics through Patchwork, 8 October 2016. Available at: https://www.linkedin.com/pulse/learning-mathematics-through-patchwork-jill-brown?trk=mp-reader-card (Accessed: 8 November 2017).

DMM (no date) How to Use Symmetry and Patterns in Photography. Available at: http://www.digimadmedia.com/blog-how-to-use-symmetry-and-patterns-in%20photography (Accessed: 4 November 2017).

Google (no date) Balancing Elements. Available at: https://sites.google.com/site/photographycompositionrules/balancing-elements (Accessed: 4 November 2017).

Graff, G. M. (2014) Understanding the Fibonacci Spiral. Available at: https://www.youtube.com/watch?v=8A3JnWzgXGk (Accessed: 4 November 2017).

Hom, E. J. (2013) What is Mathematics?. Available at: https://www.livescience.com/38936-mathematics.html (Accessed: 4 November 2017).

Life Facts (2015) 15 Beautiful Examples of Mathematics in Nature. Available at: http://www.planetdolan.com/15-beautiful-examples-of-mathematics-in-nature/ (Accessed: 4 November 2017).

McKinnell, A. (no date) How to Use Leading Lines for Better Compositions. Available at: https://digital-photography-school.com/how-to-use-leading-lines-for-better-compositions/ (Accessed: 4 November 2017).

Rowse, D. (no date) Rule of Thirds. Available at: https://digital-photography-school.com/rule-of-thirds/ (Accessed: 4 November 2017).

Valentine, E. (2017) Maths, creative? – No way! [PowerPoint Presentation], ED21006: Discovering Mathematics (year 2) (17/18). University of Dundee. 26 September.

Scientific Literacy

According to the Programme for International Student Assessment, scientific literacy is defined as “ the capacity to use scientific knowledge, to identify questions and to draw evidence-based conclusions’. This definition can help us understand the complexity of scientific literacy. It is not just being able to talk about science and use scientific words, it involves actually understanding the concepts and being able to actually apply this knowledge. Furthermore, it helps us understand that it is important to ask questions to reach a scientific conclusion. This helps us understand the importance of science within the primary school, as it is extremely important for the children to ask questions so that they get the right scientific knowledge.

Scientific literacy is always around us and even if we do not realise it we are always using it. An example of this is choosing what to eat each day and how this may impact our diet. Scientific literacy is extremely important as it helps us to understand aspects of science in our day to day lives.

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In the 21st century, many people are scientifically illiterate which leads to inaccurate media reporting. This can be seen especially in the controversies over certain vaccinations. For example, in 1998 Dr Andrew Wakefield published a study that said that MMR vaccine had links to autism and bowel disease. This report caused many parents to worry about the MMR vaccine and make the decision to not have their children vaccinated against measles, mumps and rubella. Due to this vaccination, compliance dropped sharply in the United Kingdom which led to various outbreaks like the measles outbreak in North Dublin from late 1999 until the summer of 2000. The opponents of Wakefield concluded that there is no link between the MMR vaccine and autism or bowel disease. They also found that a lot of Wakefield’s research was false and the results didn’t match his conclusions. This is a great example of how important scientific literacy is, as this controversy could have easily been avoided if more people were scientifically literate.

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Fair testing is a vital part of each child’s education. Through fair testing children can investigate whether or not their investigation is valid by changing only one variable at a time. This demonstrates that even one variable can change the whole outcome. It is important that from a young age children learn to back up their work with evidence and that they are able to provide reliable results. This not only helps when conducting science experiments, but also develops skills such as being critical and concise in their work.

Teaching fair testing in schools allows children to be more objective in their thinking and to allow themselves to consider different possibilities and outcomes, skills such as these can be used in all aspects of their learning.

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So, why does fair testing in schools link specifically to scientific literacy? Being scientifically literate in school means that you are able to take basic scientific knowledge, along with your own knowledge to engage within science across the curriculum. Many schools in Scotland focus in on STEM to develop scientific literacy as it gives pupils the opportunity, not only to develop reading and writing, but also to increase use of presentations (oral and visual) and debates in the classroom. Applying fair testing within science in school is teaching children to look for accurate results that can be tested again and provide the same result each time. Without this, it would be almost impossible to develop your scientific knowledge and ability, and with the world constantly changing and the future becoming more and more unclear, it is more important than ever that scientific literacy is a key part within each child’s education.

References:

OECD [Organisation for Economic Co-operation and Development] (2003) The PISA 2003 Assessment Framework – Mathematics, Reading, Science and Problem Solving Knowledge and Skills. Paris: OECD.

Turbull, M. (2016) Creating Connections and Contagious Enthusiasm for Science. Available at: http://www.letstalkscience.ca/about-us/why-science.html (Accessed: 4th February 2017)

(By Allan Getty, Megan Hull, Lindsay Ireland and Clare Gibson)