# List of Posts

Current trends in mathematics teaching and learning

- Lesson Study in Philippines schools
- Enduring Understanding
- Understanding by Design, one more go
- Curriculum change and Understanding by Design: what are they solving?
- Doing lesson study for the first time
- What is mathematical investigation?
- Understanding by Design by WikiPilipinas
- Lesson Study
- Making mathematics easy is a waste of time
- Assessment for learning
- My issues with Understanding by Design
- Scaffolding learning

Tips for Teaching Mathematics

- Teaching thru problem solving
- Exercises, Problem Solving, and Mathematical Investigations
- The heart of mathematics
- Features of good problem solving tasks
- Mathematical Habits of Mind

What is mathematics?

Algebraic thinking

- PCK Map for Algebraic Expressions
- The biggest idea in algebra is algebraic thinking
- Arithmetic versus Algebra
- What is algebraic thinking?
- Algebraic thinking and subtracting integers – Part 1
- Algebraic thinking and subtracting integers – Part 2

Algebra

- Counting smileys
- Polygons and algebraic expressions – Part 2
- Polygons and algebraic expressions – Part 1
- Solving systems of equation by elimination – why it works
- Zeroes of Polynomial Functions
- Graphs of rational functions
- Trigonometric functions

Function

- Introducing the concept of function
- Evolution of the definition of function
- graphs and function
- A framework for assessing understanding of function in equation form

Trigonometry and Geometry

- Teaching Trig via problem solving
- Trigonometric functions
- Polygons and algebraic expressions – Part 2
- Polygons and algebraic expressions – Part 1
- Trigonometry – why study triangles

Numbers

- Sorting number expressions
- Teaching irrational numbers – break it to me gently
- Fractions are not numbers
- PCK Map for Integers
- Who says subtraction of integers is difficult?
- A problem solving approach for introducing positive and negative numbers
- Math War over Multiplication
- Assessing operations involving integers
- Algebraic thinking and subtracting integers – Part 1
- Algebraic thinking and subtracting integers – Part 2
- Subtracting integers using numberline – why it doesn’t help the learning
- What is an integer?
- Teaching absolute value of an integer
- Teaching for conceptual understanding of equal sign
- Pupil’s understanding of equal sign