Algorithmic and investigative approaches to mathematics are compared and discussed. Their mutually contradictory spirit is explored. Examples of the application of each method to a mathematics problem are presented. (CW)

Presented are suggestions for increasing the efficient use of the transition board while reducing its overall size. Discussed are the construction and preparation of the boards. Teaching addition and subtraction using these materials is described. (CW)

Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)

This article discusses how children learn to understand the decimal system in very concrete ways, while having fun using beads. When counting the beads, the children learn 5,491 is not simply "five thousand four hundred and ninety-one" but actually 5 thousands, 4 hundreds, 9 tens, and 1 unit. They begin to understand that as they get 10 units,…

This is an effective drill and practice activity that does not use consumable materials. It does not teach math facts, algorithms or concepts. It provides immediate feedback to the learner and can be easily modified for use in many curriculum areas. It is self correcting because the student can identify errors without assistance and provides…

This skills pack is intended to assist numeracy tutors working with adults needing help with basic arithmetic, time telling, and money concept skills. The following materials are included: money worksheets (dealing with British currency); worksheets introducing subtraction and the various phrases used to express the difference between two numbers;…

This book was developed by teachers for parents to work through with their children. Learning activities are provided for each of the mathematics skills on the third-grade Basic Skills Test in Louisiana. Two pages of practice activities and games are provided for each skill, plus a test question similar to that on the Basic Skills Test. The topics…

This document describes how to teach a computer to add numbers using the LOGO programing language. The programing project is described in the way a student might develop it. The model of developing the program uses humans as an anthropomorphic model for the computer, and the computer as a model for people. The document has an unorthodox style, as…

Outlined is the "nine complements" method of subtraction. This activity was used by students to generate proofs that explained why the subtraction method worked. Reasoning and inquiry skills are emphasized. Other examples are offered that have been successful in stimulating inquiry. (KR)

Presents activities to visually explore the algebraic concepts of variable, constant, the distributive property, and combining like terms. Presents four transparencies that use visual models to understand exercises in students perform the same mental calculations on a number of their choice and obtain the same result. (MDH)

Develops the idea of fractals through a laboratory activity that calculates the fractal dimension of ordinary white bread. Extends use of the fractal dimension to compare other complex structures as other breads and sponges. (MDH)

Discussed is the idea that, if students are allowed to use calculators when doing classwork, they should be allowed to use calculators on tests. Examples of calculator-active items are presented that are designed to accurately assess students' learning. (KR)

This article explores how students learned to measure tall objects using a clinometer and some basic calculations. Such activities provide opportunities for students and teachers to learn the usefulness of linking mathematics content and science content to real-world problem-solving situations. (Contains 7 figures.)

This paper describes a classroom teaching experiment, concerning the concept of probability, with children aged 5 in a kindergarten school. The teaching experiment was based on constructivist and interactionist theories about the learning of school mathematics and lasted one month. The collection of the information was based on the tape-recorded…

The 12th iteration of the International Conference on Educational Data Mining (EDM 2019) is organized under the auspices of the International Educational Data Mining Society in Montreal, Canada. The theme of this year's conference is EDM in Open-Ended Domains. As EDM has matured it has increasingly been applied to open-ended and ill-defined tasks…