This paper proposes that there are some students who understand mathematics but just can't remember the rules to use it, and others who have accurate rote memory but can't apply the facts they know or do not understand the concepts behind them. The guided discovery approach to teaching mathematics is introduced. This approach promotes a system of…

This paper describes research into the framework of Computer Analysis Relationship (CAR) and its methodology together with software such as Scientific Notebook in a teaching and learning problem-solving environment to support student investigation as well as to enhance student logical thinking. CAR aims to motivate students how to subdivide a…

Presents an activity on soap-bubble geometry using a guessing contest, explanations, and demonstrations that allow students to mesh observation and mathematical reasoning to discover that mathematics is much more than just number crunching. (ASK)

Discusses whether mathematics teachers are being prepared to realize the limitations of technology in teaching activities and recognize conceptual problems in technology-based activities. Suggests a course to prepare teachers with skills to analyze existing materials as well as create their own activities. Illustrates this with examples from CAS,…

Presents a problem of triangular tiles that involves counting and probability. Includes instructor guiding questions. (KHR)

Presents activities that focus on number sense. (KHR)

Introduces a room air-exchange activity designed to assess student understanding of the concept of volume. Lists materials for the activity and its procedures. Includes the lesson plan and a student worksheet. (KHR)

Provides weekly activities based on suggested activities from "Principles and Standards for School Mathematics." (KHR)

Invites students to try magic-number tricks and discover how and why they work. (Author)

Provides activities focusing on students' use of manipulatives to demonstrate understanding. (Author)

Describes an activity in which students explore the mathematics used by urban planners by using a zoning chart of minimum and maximum building restrictions. (YDS)

Presents a mini-civics lesson as well as weekly activities that relate to elections held in November. (Author)

Presents responses to the Mathematics of Motion problem which includes estimating the area of shapes on grid paper. (Author/YDS)

Discusses various tools to further understanding of measurement. (Author)

Features activities based on a theme that is usually associated with a particular month. (Author/YDS)