This is the first in a series of three guidebooks on minimum course content for gifted grade seven students who will begin algebra in grade eight. The topics covered include integers, sets, number properties, open sentences, and graphing; concepts are stressed. Overall course goals are specified; a course outline, performance objectives, suggested…

This first unit in the SMSG's junior high mathematics series is a student text covering the following topics: what is mathematics?; numeration; whole numbers; non-metric geometry; factoring and primes; the rational number system; measurement; and area, volume, weight, and time. (DT)

Two major ways to view the numbers to 100 are counting by ones and grouping by tens and ones. Research suggests that early understanding of numbers comes from counting and that place value instruction cannot be hurried. (PK)

Worksheets are provided for an activity involving the use of the calculator in discovering patterns when a number is divided by 9, 99, or 999. (DT)

At the request of students and the Board of Trustees, the Connecticut Community Colleges began a system to develop a common course number system. The reasons for creating a common course number system include: (1) it simplifies comparisons between colleges in the system; (2) it facilitates course comparisons, easing the transcript evaluation…

"How many are the numbers?", "How many numbers are there between 1 and 2?" These tasks were set in three fifth grade classes in an educational environment characterised by an alternation of classroom discussions orchestrated by the teacher and students' production of individual reports. They allowed us to analyse both the short term evolution of…

This study describes a teacher preparation program in mathematics and science and explores what impact the reformed curricula and teaching methods instituted in the program have on prospective teachers' understanding of rational numbers and integers. The study pursues obtaining in-depth insights regarding prospective teachers' concept development.…

More work with fractions needs to be done in the elementary school, with emphasis on concepts rather than computational algorithms. (MP)

Demonstrates the consequences of teaching rules without understanding using examples from two 3rd grade children. Suggests alternative instructional strategies. (KHR)

Attempted to verify knowledge regarding decimal and rational numbers in children ages 10-14. Discusses how pupils can receive and assimilate extensions of the number system from natural numbers to decimals and fractions and later can integrate this extension into a single and coherent numerical structure. (Author/MKR)

This is a reprint of an address given at the Christmas National Council of Teachers of Mathematics (NCTM) meeting in 1958. It provides a critique of elementary instruction and discusses the changes necessary. It calls for fundamental change in the concept of mathematics teaching. (PDD)

A semiotic perspective on mathematical activity provides a way of conceptualizing the teaching and learning of mathematics that transcends and encompasses both psychological perspectives focussing exclusively on mental structures and functions, and performance-focussed perspectives concerned only with student's behaviours. Instead it considers the…

We used a numerical bisection procedure to examine preschool children's sensitivity to the numerical attributes of stimuli. In Experiment 1 children performed two tasks. In the Cups Task they earned coins for choosing a green cup after two drumbeats and a blue cup after eight drumbeats. In the Gloves Task they earned coins for raising a red glove…

This article provides activities that merge two fascinating mathematical topics: the Mayan system of numeration and magic squares. (Contains 3 figures.)

Time perception is important for many aspects of human behavior, and a large literature documents that adults represent intervals and that their ability to discriminate temporal intervals is ratio dependent. Here we replicate a recent study by vanMarle and Wynn (2006 ) that used the visual habituation paradigm and demonstrated that temporal…