Category Archives: 2.2 Education Systems & Prof. Responsibilities

Teaching New Phrases – French

French was never my strong point at school. I felt that I didn’t have the underlining and basic skills to forward my development and therefore the subject broke down for me. In Scotland, we are now introducing a second language in Primary 1. This is a positive means of having the underlining basis of a language such as French or German and therefore moving forward and learning another, for example Spanish, will become easier in accessing the grammar and speech.

Children learn a modern language through receptive skills and productive skills. Receptive is similar to our language – learning through listening and reading. It is important that children have the opportunity to listen to a language before attempting to read it. This is because in many European languages they use accents. These can change the way the words are pronounced. Therefore, if a child were to read a new word first, they would have an interpreted pronunciation and continue to say the word wrong. It is important that productive skills are brought forward also. These are talking and writing. Talking is important feature that can run alongside listening. Teachers can get involved with this also, as demonstrated by Carrie on Tuesday. Carrie used a lesson with us where the teacher used associated actions with a word, such as a left-hand wave with “bonjour” and right-hand wave with “au revoir”. This repeated back and forward from the teachers and pupils can reinforce specific phrases and therefore they have a sound understanding of new vocabulary. This makes it easier in future to receive the words through recognition of sounds and phrases.

These new phrases can then be brought forward through the introduction of the words being written and read. As a teacher, it can be difficult to bring forward a second language when a child’s first language is continuing to develop. Therefore, as mentioned previously, it is important that they are not bombarded with phrases and lessons are focussed on a maximum of 8 new words in a lesson. This provides opportunity for new vocabulary to become embedded in a child and talking and listening activities can progress through writing and reading lessons.

When Carrie was carrying out the lesson she solely focussed on some individuals. This was a reflection task for us all as we were required to think like a class of primary school pupils would. As a teacher, we have to understand that not everyone will be confident in accessing a different language or confident enough to say phrases in front of their peers (Jones, J and Coffey, S 2006). It is therefore important to make activities group tasks to get everyone involved and if feedback is required this is done on a collective basis. We must also keep the work engaging for pupils, whilst progressing at the same time. Keeping activities relevant to the language by having lessons based around a song, a game or an art lesson, provides pupils with fun activities whereby the language is not their sole focus. However, we must develop progression. In Primary 1-3 talking and listening is emphasised, so the pupils have a key understanding of basic language. But older pupils will engage more with reading and writing lesson so therefore they are expanding their skills (Jones and McLachlan 2009). This however may require for teachers to recap pre-taught language to gage the level of the pupils’ understanding and reinforce the words. Therefore, by checking for understanding, use of progression and the use of the four main language skills, children CAN have a sound understanding of a foreign language and maintain this language throughout primary school, with progression in upper stages.

References:

Jones, J. and Coffey, S. (2006) Modern Foreign Languages 5-11: Issues for Teachers. David Fulton. London

Jones, J. and McLachlan, A. (2009) Primary Languages in Practice: A Guide to Teaching and Learning. McGraw-Hill Education

 

 

 

What is a Number?

We come into contact with numbers every day. Time, working out how many portions of dinner we’ll need to make or simply “hey what’s your number?”. But have we ever taken the time to think, what is a number and why do we even use them?

My first question is, why does the number three collectively represent other items in threes? Surely three dinosaurs would be more than three peas, even though they represent the same amount collectively. But it’s not due to weight, height or mass, its due to the value of the number three. Numbers are a language. For value, comparison and equivalence. They help us understand how many there is of something (value), help us compare that five dinosaurs are two more than three peas and that three peas and three dinosaurs are equal.

Numerals play a significant part in this. A numeral is the symbol or collection of symbols used to represent a number. A child’s first experience of a number is most likely going to be an adjective that would collectively describe a set of something e.g. five cats or two arms, this is more commonly known as the ‘cardinal aspect of a number’ (Haylock, 2014). This highlights that children can recognise an equivalence between two sets of objects and is why we understand that three dinosaurs are equal to three peas. At this stage numerals are the link to numbers. Therefore, children can look at numerals such as pictures of shapes or objects and count how many are there of one thing. This will therefore help them connect to real life situations and when shown beside numbers, they can begin to connect numerals and numbers together. By beginning to connect the two, children will have a deepened understanding of numbers and therefore their longitudinal coherence will develop. Starting their journey with numbers and maths simply and positively to prevent future maths anxiety (MA, 2010).

Numerals have been shown throughout our history and teach us a lot about the development of mathematics. One of the oldest is hieroglyphics, used by the Egyptians, dated as far back as 3000 BC. Their numerals were shown through drawings and symbols such as a bird and an Egyptian man (O’Connor and Robertson, 2000). Maths was commonly used by Egyptians if they were dividing food, solving problems for trade and market and most importantly for the pyramids (Mastin, 2010). This highlights the first use of maths for economy and trade. Wealth played a significant part in Egyptian life and social class was divided by money but more than anything, maths. Through looking at our history, we can see the similarities in the importance of economy then and now. We live in a world that’s economy changes daily and has the power to change and impact upon people’s lives. If we looked more in depth at historical economy such as Egyptian trade and social classes, we could learn and reflect on our economy nowadays and therefore maths is a historical aspect of economy that involves counting and numbers.

All factors of numbers have a place in fundamental maths, but most importantly teach us a lesson for now. We can apply what we have seen previously in history and the importance of numerals and numbers to aid our development with maths and see that it is essential for our wider society and not just basic classroom use. Relevance is a fundamental principle of Curriculum for Excellence (Scottish Government, 2010) and therefore it is important that teachers bring this forward from historical findings into our everyday maths lessons and make children think about their future with maths in society.

Number Patterns and Sequences

Another way of teaching maths can be through number patterns and sequences. This can be another way of making maths interesting for children whilst developing their relationship with numbers. Vale and Barbose (2009, p9), stated that the use of patterns in maths can challenge students to use “higher order thinking skills and emphasise exploration, investigation, conjecture and generalisation.” Therefore, basic skills in maths are used within problem solving to develop not only longitudinal coherence but also multiple perspectives as they can use different methods to find the solution to a problem.

An interesting number pattern is Pascal’s Triangle, named after Blaise Pascal, a French mathematician. This is a triangle that starts with the number ‘1’ and then below are the sum of the addition from the numbers above. For example, if 1 is beside 2 in the triangle the sum (number written below) would be 3. An example of this can be seen below.

Pascal’s Triangle makes maths fun for children whilst learning about addition and number patterns. Addition is a fundamental aspect of maths that it taught as early as ages 4-5 and can be continued to be taught throughout primary school through ways such as Pascal’s Triangle. The introduction of colours can also produce other findings within the triangle. For example, pupils can colour odd and even numbers or work out the horizontal sums of the triangle (Maths is Fun, 2017). This therefore keeps maths relevant and allows for differentiation in a classroom, as some can complete the main body of the triangle (addition) and some can move forward looking at other aspects of the triangle. Therefore old maths techniques and problem solving continue to find a relevance in our everyday maths and classroom.

References:

Haylock, D. (2014) Mathematics Explained for Primary Teachers. 5th edition: SAGE.

L, Mastin. (2010) Egyptian Mathematics https://www.storyofmathematics.com/egyptian.html (Accessed: 5th October)

J, O’Connor and E, Robertson. (2000) Egyptian Numerals. http://www-history.mcs.st-andrews.ac.uk/HistTopics/Egyptian_numerals.html (Accessed: 5th October)

Ma, L. (2010) Knowing and Teaching Elementary Mathematics. (Anniversary Ed.) New York: Routledge.

N/A (2017) Pascal’s Triangle.  https://www.mathsisfun.com/pascals-triangle.html (Accessed: 6th October 2018).

Scottish Government. (2010) Curriculum for Excellence Building the Curriculum 3 A Framework for Learning and Teaching: Key ideas and Priorities. Available at: http://dera.ioe.ac.uk/1240/7/0099598_Redacted.pdf  (Accessed: 5th October 2018).

Vale, I. and Barbosa, A. (2009) Multiple Perspectives and Contexts in Mathematics Education. Available at: https://www.academia.edu/1485703/Patterns_multiple_perspectives_and_contexts_in_mathematics_education  (Accessed: 5th October 2018).

Resource Allocation – Meritocracy Within the Classroom

Our first seminar with Derek, saw us split into five groups. He told us to come up with the a ‘guide to fresher’s week’. He handed out envelopes full of equipment we were to use. Whilst doing so, we spotted that group 1 and group 2’s envelopes were much bulkier than the one we received. At this point in time we questioned whether some tools were left out and whether we should ask Derek if this were the case.

Our envelope included;

  • 1 post-it note
  • 3 paper clips
  • A pencil
  • Blue tack

This was in comparison to the other groups who had multiple pieces of card, different coloured pens, scissors and much more.

When delivering our idea to the class, we were aware of the positive feedback and interaction Derek portrayed to the first few groups. Our group felt very proud of coming up with the idea of a game from the limited resources we had. However, to hear next to no feedback, this made us question what we were doing wrong.

Upon creating our game, we felt we had to prove ourselves. We wanted to create the best idea and in return receive positive feedback. Yet, when Derek was scanning everyone’s ideas, he hardly interacted with us and at one point offered biscuits to group 1 and 2 and told them how imaginative their ideas were. At this point in time, we all felt neglected by Derek and therefore believed it was our fault.

When demonstrating our ideas to the class, Derek once again praised the groups before us about how inventive and imaginative they had been. Although to us, we believed we had the most imaginative idea. As our turn arrived we noticed Derek’s interaction had immediately dropped. He continued to look out the window and gave us no feedback. This made us feel extremely put back and more than ever made us question what we had done wrong. Not only that, but we felt annoyance towards him and the lack of attention we were given.

This particular task made us aware of meritocracy: the holding of power by people selected according to merit. Derek’s demonstration highlighted that teachers cannot discriminate against those without resources. The praise he awarded to others would make a child feel anxious about their studies and relationship with their teacher, which is not a healthy environment. When discussing the topic with the class, we became aware that group 1 and 2 had no realisation that they were receiving better treatment than the rest of us. This highlights that those with the best resources and opportunities in life, have little awareness about those surrounding them living in poverty and deprivation.

Overall, it is clear that becoming a teacher can be a struggle. It is not simple to give everyone the same opportunities when you have little understanding of their background and can become extremely easy to favourite particular students over another, without being aware of doing so. To prevent this a teacher should provide the same opportunities for everyone and understand that particular students made need more help than others. When achieving this the class environment becomes equal and enjoyable for the students.