Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics domains. We focus on two types of representational competencies: (1) "sense making" of connections by verbally explaining how…

Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics (STEM) domains. We focus on two types of representational competencies: (1) "sense making" of connections by verbally…

Presents an investigation using data collected by students to explore timelines and pie charts. The activity begins with having students keep a chronological record of their activities for one 24-hour period to create and analyze pie charts that show how they have spent their time. Activity sheet also included. (ASK)

Considering a fraction as directions for graphing a line through the origin of the x-y plane is suggested. Strengths and weaknesses of the idea are also discussed. (MNS)

Grid paper activities are discussed as a way to help students conceptualize fractions. (MP)

This discussion of the mathematical potential of classroom events gives many examples of incidents that can be used for learning about topics such as one-to-one correspondence, counting, sets, ordering, time, fractions, money, shape, estimation, measuring, volume, area, number operations, and graphs. (MP)

Students are given the opportunity to deal with many kinds of data as they make graphs and interpret the results of polls. Worksheets are provided on filling in a graph grid and making bar and circle graphs as well as interpreting each. (MNS)

Simple experiences with probability can extend third graders' understanding of the need for fractions. Three activities are given which build on language-arts experiences and incorporate concepts in multiplication, graphs, and fractions. (MNS)

The issue of division by zero is discussed. Activities that cover the topics of measurement division, partition division, relationship to fractions, confusion with dividing into zero, dividing zero by zero, and relation to more formal numbers are presented. (KR)

This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

Intended for use as a part of the adult basic education teaching/learning management system called CUBE (Continuity and Unity in Basic Education), these instructional materials consist of a math placement inventory, guide sheets, mastery tests, and eight sections of learning activities covering areas of basic mathematics. Topics addressed in the…

This document includes 50 activities for reinforcement, practice, and maintenance of basic mathematics skills. Activities are designed for middle school students. Skills include addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals as well as graphing and measurement. Activities are based upon a daily…

This guide describes 20 learning activities that can be used with elementary school students on the topic of probability and statistics. These activities have been developed using the mathematics laboratory approach. This publication is designed to serve as a stimulant to encourage teachers to open their minds and employ their imagination in…

This manual designed for grade 6 is part of a series for a program to integrate the teaching and learning of mathematical and computer concepts and skills in the elementary school. The manual contains 34 lessons. Each lesson includes information on the topic, suggested grade level, mathematics concepts and skills, objective, prerequisite skills…

This instructor's guide consists of materials for use in teaching a course in technical mathematics designed for students enrolled in postsecondary vocational and technical education programs. Included in the guide are 32 units organized into the following broad topic areas: whole numbers, fractions, decimals, percentages, measures, tables and…