"Improving Mathematics in the Early Years and Key Stage 1" reviews the best available evidence to offer five recommendations for developing the maths skills of 3-7-year olds. Recommendations include integrating maths into different activities throughout the day -- for example, at registration and snack time -- to familiarise children…

Mathematics research has discovered two elements that are consistently linked to student achievement: parental involvement and manipulative materials. This book offers a rich assortment of spinner, matrix, and card learning games which can be used in the classroom or at home. The concepts and skills range from whole number operations to geometry.…

This book contains activities and projects designed to be congruent with three underlying philosophies: the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards; Howard Gardner's multiple intelligences; and manipulatives, activities, and projects. The introduction contains information about educational reforms; multiple…

Use of prepartitioned models is proposed to help students construct a meaningful concept of fractions. Partitioning, geometric shapes as fractional models, concepts related to successful partitioning, and other benefits from partitioning experiences are discussed. Sample activities are suggested. (CW)

Describes ways to make magic squares of 4 by 4 matrices. Presents two handouts: (1) Sets of 4 Numbers from 1 to 16 Whose Sum is 34; and (2) The Durer Square. Shows patterns which appeared in the magic squares, such as squares, chevrons, rhomboids, and trapezoids. (YP)

One of the four cornerstones of the National Council of Teachers of Mathematics (NCTM) "Curriculum and Evaluation Standards for School Mathematics" asserts that connecting mathematics to other subjects in the curriculum and to the everyday world is an important goal of school mathematics. This yearbook is designed to help classroom…

This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…

This program is designed to enable students to master the competencies and skills which reflect the learning goals and objectives developed by the Illinois State Board of Education. This document lists the learning objectives by grade level and reporting period for kindergarten through grade three. Topics included are arithmetic, measurement,…

Presents a collection of problems focusing on: (1) squares in arithmetic and number theory; (2) squares in geometry; (3) topics blending arithmetic and geometric aspects of squares; and (4) squares and Logo. A sample student worksheet (with answers) is included. (JN)

Presented is a script for a classroom presentation introducing weighted means and geometric means to students who are already familiar with arithmetic means. Frequent questioning is included to keep the students mentally active and involved in the development of this new idea. Typical student responses to these questions are provided. (CW)

This book offers ideas to enrich instruction and help teachers explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, the symmetries, patterns, processes, paradoxes, and surprises that have facilitated generations of great thinkers are revealed. Activities include: (1) The Beauty in…

Presented is an activity which examines an arithmetic concept from a geometric point of view. Objectives, prerequisite learning, and procedures are discussed. Four worksheets are provided with answers. (CW)

Freudenthal was the founder of realistic mathematics education, in which reality serves as a source of applications and learning. Takes a newspaper article about reproducing a Van Gogh painting using plants in a field to exemplify a rich context problem containing elements of all areas of elementary school mathematics. (MDH)

Presented is a proof where special attention is accorded to rigor and detail in proving the lemma that relates ruler-and-compass constructions to arithmetical operations. The idea that some angles cannot be trisected by a ruler and compass is proved using three different cases. (KR)

Included are four learning activities that focus on using and interpreting data as a basis for integrating mathematics, science, and sports. Each activity includes grade level, objectives, materials, directions, answers to questions, extensions, and reproducible handouts. (KR)