Tag Archives: teaching with conceptual understanding

Types of tasks that encourage conceptual understanding

In his paper The Design of Multiple Representation Tasks To Foster Conceptual Development, Professor Malcolm Swan of University of Nottingham presented five types of tasks  that foster conceptual understanding of mathematical concepts. This was developed through their work with teachers. This classification of tasks is a very good framework to use in designing instruction. I… Read More »

Teaching the properties of equality through problem solving

I like to teach mathematical concepts via problem solving. It right away engages students mind. It creates a need for learning a more systematic way of doing things and hence a reason for learning the concept. It provides a context for making connections. Most important of all, it gives students opportunity to learn before they… Read More »

Teach for conceptual and practical understanding

Whit Ford left this comment on my post Curriculum Change and Understanding by Design: What are they solving? He makes a lot of sense. I just have to share it. I believe the method of planning lessons is less important than WHAT you are asking the students to think about. Most Algebra I and II… Read More »

Patterns in the tables of integers

Mathematics is said to be the science of patterns. Activities that involve pattern searching is a great way to engage students in mathematical thinking. Here are some of my favorites for teaching positive and negative integers. If you are wondering why most of my posts are about integers it’s because I’m doing a Lesson Study… Read More »

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