Monthly Archives: September 2016

Online Assessment Reflection

Today I completed the Online Maths Assessment and must admit I am quite shocked with my results. I decided to tackle the assessment after reading Liping Ma’s theory that where there is a gap in teacher’s knowledge there will be gaps in student’s learning. I wanted to reinforce my belief that I had a firm grasp of the basics in mathematics but in actual fact this test highlighted to me that although I understood the questions and got the correct answer for 80% of the test, I couldn’t explain why I came to the answer or the reason for my working out. This is important as to have a profound understanding of fundamental mathematics you must first be able to do the maths and be able to explain how and why you came to your conclusions. I clearly have some mathematical knowledge however I could not yet describe my knowledge as profound. Exploring different theories, mathematical ideas and teaching points, and in turn developing my own knowledge of fundamental maths will result in me becoming more confident, and a more competent teacher in the future.

Liping Ma also explores the idea that Chinese teacher’s improve their maths ability through discussion with other teachers, taking on and developing ideas from students and finally practicing mathematics themselves.

Over the time of this course I hope to explore some of the theories cited in Liping Ma’s book, but also other theorists who have impacted the mathematical field.

Reference: Ma, Liping. Knowing And Teaching Elementary Mathematics. Mahwah, N.J.: Lawrence Erlbaum Associates, 1999. Print.

What really is Mathematics?

What is mathematics?

Before today’s input my basic understanding of mathematics was the ability to use numbers to solve a problem or equation. However, maths is so much more than that. Maths involves many different key elements such as shape, size, patterns, and more which
we often overlook due to our fascination with the assumption that maths can only involve numbers.

Marcus du Satoy’s article in ‘The Guardian’ opens our eyes to the fact that maths is much more than what we perceive it to be. There is more to maths than the basic grammar and vocabulary of numbers we are taught in school and that techniques regarded as ‘core skills’ can limit our enjoyment and discovery of what maths really is. Maths to me was always quite mundane throughout school. We sat down, opened our textbooks and listened to the teacher for some of the lesson and then were suddenly expected to have grasped the new concept and begin working through questions simply by listening and watching someone else solve a problem. Du Satoy’s article makes me question why did we never challenge maths in school? When told a rule for mathematics as a class we just accepted that that was the rule and there could be no other way. We would never question why. Perhaps this dulled our perception of maths in school too, the fact that we were taught not to question what we were told leaving us very unmotivated and uninspired.

In the article du Satoy refers to a book by Hardy which states: “A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.” He suggests that maths is more interconnected with creative arts, and other curriculum areas than often we believe. In schools we often see cross-curricular working but maths is repeatedly pushed to the side. Satoy argues that there is so much history and discovery in mathematics that is often left out of the “unadventurous curriculum” when in reality the discovery of fundamental mathematical principles were crucial in key historical moments. Without maths the Egyptians would not know how much stone was going to be required to build the pyramids in Giza. I had never thought of the endless creations that would have never happened if it wasn’t for the art of mathematics. I must admit that throughout High School I was always left wondering “when am I ever going to use maths?” Maths is all around us, without a basic understanding of mathematics we would struggle to survive everyday life. Mathematics opens doors to discovery and is full of potential breakthroughs and opportunities that could make the difference to the world.

Stand and Deliver

 

Stand and Deliver is an American drama filmed in 1988 based on the non-fictional story of a mathematics teacher named Jaime Escalante. Escalante becomes a mathematics teacher at Garfield High School where he faces the daily challenge of teaching an uninspired class. The pupils face many difficulties in their learning, they are well below the average grades and are deemed incapable by many of the teachers in the school. During a staff meeting Escalante confronts the other teachers’ low expectations of their pupils and sets an ultimate goal of getting his pupils through the AP Calculus Exam. Other teachers think he is crazy however his undying determination and commitment sees all eighteen of his pupils pass the calculus exam despite allegations of cheating by the Educational Testing Service. Yet again Escalante shows sheer grit and determination by defending his hardworking pupils by challenging the exam board and allowing all eighteen pupils to re-sit the exam with every pupil passing with top grades. The story is extremely inspirational as it demonstrates the ability of a strong-minded, dedicated teacher to challenge and change not only pupils’, but teachers’ perceptions of mathematics and the ability of lower-class children to succeed.

It could be argued that Jaime Escalante is different due to his unwillingness to give up on a class of ‘less abled’ pupils. He shows that he is unlike other teachers at Garfield High School by challenging their opinions of the pupils’ abilities. He uses controversial teaching points (such as making one pupil sit at the front of the class for not cooperating in the class test) to control his class. Although debateable, his techniques provide him with the capability to break down barriers and build relationships with each of his pupils. His commitment to his class was inspiring, dedicating over sixty hours a week to improving his class’ knowledge on the subject, running extra classes after school, throughout holidays and on weekends. He was determined not to let his pupils down despite facing ill health through exhaustion. Through providing his pupils with insight as to the relevance of mathematics in the real world the teacher further encouraged the students’ willingness to learn. Despite facing several challenges Escalante never gives up. He gains the respect of his pupils and their families and even goes to great lengths to keep several of the pupils in school on the prospect of them passing the exam and furthering their education. After the exam, Escalante’s hard work is rewarded through every pupil passing the exam. Not only did his hard work benefit each and every one of the pupils’ in his class, he showed the school that negative teacher mind-set and low expectations only prevents achievement. Garfield High School’s grades rose each year after Escalante’s success. His sheer grit and resolve makes him a true inspiration.

Reference:

Stand And Deliver. Ramón Menéndez, 1998. DVD.