This document summarizes a presentation on developing thinking through high school mathematics. It discusses how student achievement declines from elementary to high school and calls for changing mindsets. It provides examples of engaging students in high school math concepts like algebra, geometry, and problem solving. These hands-on examples from schools in Singapore, Indonesia, and elsewhere encourage students to make sense of formulas and collaborate on problems. The conclusion is that math can develop thinking beyond just content if taught in this way. International test scores are also presented showing Singapore performs among the highest in math achievement and affect.
Q-Factor HISPOL Quiz-6th April 2024, Quiz Club NITW
LEAP Educators' Conference 2011, Manila, The Philippines, 11 - 12 February 2011
1. LEAP Educators’ Conference 2011 Developing Thinking Through High School Mathematics Yeap Ban Har Marshall Cavendish Institute Singapore banhar@sg.marshallcavendish.com Presentation is available on www.banhar.blogspot.com
2. Link to Keynote Lectures First lecture raised the question: “Why is the achievement level eroded when students progress from elementary to high school?”. The second lecture calls for changing mindset. This lecture attempts to answer the question and suggest an alternate way of looking at school mathematics.
3. Introduction Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence… Ministry of Education 2006
6. National Test Grade 10 (Secondary 4) A fly, F, starts at a point with position vector (i + 12j) cm and crawls across the surface with a velocity of (3i + 2j) cm s-1. At the instant the fly starts crawling, a spider, S, at the point with position vector (85i + 5j) cm, sets off across the surface with a velocity of (-5i + kj) cm s-1, where k is a constant. Given that the spider catches the fly, calculate the value of k.
28. Problem: Find the distance between points A (2, 3) and B (10, 9). Students working collaboratively on a problem to learn the coordinate geometry topic on distance between points. Traditionally, students were given a formulae to do this. Instead students had to conduct a mini-inquiry to use what they had previously learned. BinaBangsa School, Indonesia
29. Every group was able to use their previous learning (Pythagoras Theorem) to solve the main problem. BinaBangsa School, Indonesia