Curated OER
House and Holmes: A Guide to Deductive and Inductive Reasoning
Test your pupils' reasoning skills with several activities and a quick mystery to solve. Learners watch and analyze a few video clips that demonstrate reasoning in action, practice deduction with an interactive and collaborative...
K20 LEARN
Simply Elementary, Watson!
Explore the process of inductive and deductive reasoning. A collaborative lesson has some groups apply an inductive approach and others a deductive approach. Through class discussion, scholars compare their processes and discuss...
Education Development Center
Thinking Things Through Thoroughly
Problem solving is a skill of its own. Learners use a variety of problems to encourage mental math and logic to get the correct answer. Guiding questions are provided along the way to encourage the right way of thinking to help tackle...
Education Development Center
Logic of Algebra
Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...
Curated OER
Twenty Questions: The Hundred Chart
Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....
New York State Education Department
TASC Transition Curriculum: Workshop 11
You'll C-E-R a difference in classroom achievement after using a helpful lesson. Designed for economics, civics, government, and US history classes, participants practice using the CER model to craft arguments about primary and secondary...
Odyssey of the Mind
Odyssey of the Mind Curriculum Activity: Made Up Math
Is there a way to connect creative thinking, logical reasoning, mathematical understanding, and humor? You bet there is! Kids begin by creating creative math quizzes, which require creative thinking to solve. For example, 1+1=24, one...
Curated OER
Teaching Students Mathematical Reasoning Skills
Students can build upon their basic math skills and become higher order thinkers when we encourage the following principles.
Curated OER
Improving Deductive Reasoning Skills
Students develop a strategy list for problem solving by working with different types of problems. They recognize problems that may be solved using deductive reasoning and solve deductive reasoning problems.
Curated OER
Improving Deductive Reasoning Skills
Students recognize problems that may be solved using deductive reasoning, and develop aids to help them in solving these problems. They produce their own deductive reasoning puzzles for other students to solve.
Curated OER
Prize Numbers
Students explore what a proof is, how and why mathematicians create them and compose essays on how reason and logic are employed in the workplace. They explore whether any three lines can make a triangle and attempt to verify Goldbach's...
Arizona Department of Education
Introduction to Integers
Welcome to the backward world of negative numbers. This introductory lesson teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare single-digit integers.
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Education Development Center
Algebraic Habits of Mind
Math really is just one big puzzle waiting to be solved. Show learners that math can be intriguing and provide them with visually engaging problems and puzzles. The focus is on solving simple equations and looking at expressions.
New York State Education Department
TASC Transition Curriculum: Workshop 5
Are video games sports? Pupils investigate this question as well as various nonfiction selections to learn more about claims and the support that defines them. All of the selections mimic the rigor on state tests and encourage close...
Curated OER
Mathematical Magazines
Young scholars use ads from magazines to create data to be measured and apply the skill of estimation. They record the percentage of magazine ads that could be separated into different categories made by students through the use of...
Curated OER
Lake Crossing I
Young scholars problem solve logic problems using a step by step process in which they act out a problem. They write down each step to of the logic problem to follow a chain of reasoning. They recognize logic arguments after completing...
Curated OER
Mr. P's Life Problem
In this life problem instructional activity, students read given facts. Afterward, they use logic and deductive reasoning to determine answers to given questions. This one-page instructional activity contains 11 problems. Answers are...
Curated OER
Best lesson in the whole world!
Middle schoolers study the concept of fraction using mathematical reasoning. In this problem solving fraction lesson, students use various methods to explain their reasoning in solving fractions. Middle schoolers use a number of...
Curated OER
Little Pigs with Big Problems
First graders solve one problem per day regarding the story of Three Little Pigs. In this math journals lesson, 1st graders solve problems on a daily basis using the story of the Three Little Pigs.
Curated OER
Teach Students a Range of Problem-Solving Strategies
Arming students with a multitude of strategies will help them meet their math challenges.
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the class...
Noyce Foundation
Boxes
Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.
Noyce Foundation
The Wheel Shop
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...