This study surveyed and analysed four secondary school students' writing about a square. Sfard's discursive approach to understanding mathematical discourse was used to analyse the responses collected from 214 Australian secondary school students. The results showed that geometric knowledge was developed experientially and not developmentally.…

Mathematics discourse is a teaching approach that encourages student discussion and reveals an understanding of concepts as students engage in mathematical reasoning and debate (Cobb 2006). Grabowski and Ke (2007) posit that students have significantly higher achievement and positive attitudes toward mathematics after participating in gaming…

If you like taking your mathematics lessons outdoors then you will enjoy this issue's technology column! Maria Northcote and her students suggest a variety of different technologies and mathematical explorations that can be used in conjunction with a parachute.

How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

Global positioning systems (GPS) receivers and other geospatial tools can help teachers create engaging, hands-on activities in all content areas. This article provides a rationale for using geospatial technologies in the middle grades and describes classroom-tested activities in English language arts, science, mathematics, and social studies.…

Although many researchers have examined knowledge building in traditional settings and distance learning, few have examined middle school students' building of mathematical knowledge using mobile phones. The present study uses two well-known models of knowledge building to carry out the examination: the interactive analysis model of knowledge…

Presents two hands-on mathematics activities for teaching K -3 students to experience fractions on a tactile level. The first uses chocolates to demonstrate that fractions can be part of a whole, can be part of a set, and are equal parts. The second has students design a classroom fraction museum with fraction exhibits designed and presented by…

Discusses ways of using role play to link students' mathematical knowledge in the real world. (ASK)

This guide is a resource for K-8 teachers, college student tutors, parents, and others engaged in learning activities to help primary, elementary, and middle school students learn mathematics and science. It presents a collection of activities adapted from printed and electronic sources which help motivate student interest in mathematics and…

Describes how to use a one-handed clock for teaching time telling: make a one-handed clock (hour hand only); discuss clock history; have students use approximate language to describe where the hour hand is; have students practice with their own clocks; introduce the minute hand; have students compare the clocks; and have students add minute hands…

Presents a classroom project in which children use bottles and sand to explore mathematics. (Author)

This article describes a hands-on activity in which students convert decimals to fractions, measure, make scale drawings, use algebraic formulas, and use visualization to construct a three-dimensional physical model of a portion of the seafloor. In the process, they learn about sound, speed, and ocean exploration. (Contains 2 figures.)

Describes a consumer-math-skills project in which students make geometric shapes using pretzel sticks and gumdrops, then start a shop to sell them. This requires counting costs, pricing items, setting up shop, using money, making change, and understanding profits. Students reflect on the experience and write lists of the math they used to create…

Teachers from the departments of Mathematics and Computer Science, and Curriculum and Instruction at the University of Wisconsin-Whitewater collaboratively developed and implemented an evening math event, "Family Math Fun Night," at local elementary schools. As an assignment, preservice elementary teachers developed hands-on mathematical…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…