Problem solving and critical thinking are a very important part of mathematics. There are many different ways of approaching problem solving and critical thinking. The videos on this page demonstrate methods of problem solving and critical thinking.
In this section, we will explore inductive vs deductive reasoning. Inductive reasoning involves forming a generalization from specific observations or patterns. Deductive reasoning forms a specific conclusion from general principles or premises.
Inductive vs Deductive Reasoning
Using Venn Diagrams to Determine the Validity of a Deductive Argument
In this section, we will explore creating rounding and estimation. Rounding values to the correct place is a very important part of mathematics. Sometimes numbers are too large or too small wot work with easily, so we round them to an easier to use value. Estimation is something else that is important in mathematics. Coming up with a valid estimate is a great skill to have.
Rounding Whole Numbers
Rounding Decimals
Applying Estimation Techniques to a Circle Graph
Problem Solving
In this section, we will explore problem solving strategies. This may involve using mathematical models to formulate a strategy for problem solving. I will explore various problem solving strategies utilized in different texts.
Using Polya's Four Step Approach to Problem Solving
Problem Solving with a Tree Diagram
Problem Solving Strategies - Race Scenario
Unit Analysis with 3-step Problem Solving Approach
Converting Units of Time Using a Chain of Conversions