Part of the research community that has followed the Early Algebra paradigm is currently delimiting the differences between arithmetic thinking and algebraic thinking. This trend could prevent new research approaches to the problem of learning algebra, hiding the importance of considering an arithmetico-algebraic thinking, a new approach which…

This fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasizing computational fluency and the…

Offers teaching suggestions for activities using the TI-73 graphing calculator in middle schools. Topics include the number line, data handling, and algebraic thinking. (MM)

Presents an activity in which students use computer-based spreadsheets to find out how much grain should be added to a chess board when a grain of rice is put on the first square, the amount is doubled for the next square, and the chess board is covered. (ASK)

Shares experiences with using "The Wall", a number patterns spreadsheet idea developed by Dave Shiers, with children in a middle school. (ASK)

Presents an activity in which students build their flexibility in using numbers and explore the connections between numbers and their representations with base-10 materials using the TI-15 calculator. (ASK)

States that thinking about numerical procedures starts in the elementary grades and continues in successive grades until students can eventually express and reflect on the procedures using algebraic symbolism. Outlines how such thinking can progress to algebraic reasoning. Illustrates how computers can be used to promote this progression through…

Calculators can be used in primary schools in a number of situations. They are most beneficial when working with large numbers, dealing with real data that leads to complex calculations, performing repetitive calculations, developing concepts, estimating and checking, problem solving, and looking for patterns and/or relationships. But what if the…

Stickybear's Math Splash is a CD-ROM-based software tool for teaching mathematics skills beyond simple number recognition to elementary students. The accompanying printed lesson plans are designed to complement mathematics skills with other methods and areas of emphasis including kinesthetic learning, listening skills, decision making skills, and…

Stickybear's Math Town is a CD-ROM-based software tool for teaching mathematics skills beyond simple number recognition. Accompanying printed lesson plans are designed to complement mathematics skills with other methods and areas of emphasis including kinesthetic learning, listening skills, decision making skills, and other vital tools for…

Describes computer activities that offer middle school students opportunities to cooperatively explore problem situations and connect mathematical understandings to each other, to their experiences, and to other disciplines. Contains 19 references. (Author/ASK)

The National Council of Teachers of Mathematics (NCTM) recommended the use of calculators in the classroom in 1989. While calculators are more readily available in classrooms today than they were a few years ago, the recommendation is rarely followed in elementary grades. One of the reasons for this is a lack of appropriate classroom materials.…

Argues that basic components of discrete mathematics can be introduced to students through gradual elaboration of experiences with iconic spreadsheet-based simulations of concrete materials. Suggests that the study of homogeneous and heterogeneous patterns of manipulative spreadsheet templates allows for appreciation of the development of…

Presents a game along with several variations involving three players using three-digit numbers to help students improve their number sense on decimal numbers and fractions. (ASK)

A collection of articles from the journals "Arithmetic Teacher" and "Teaching Children Mathematics" provide ideas for the instruction and use of teacher-made instructional aids. Guidelines used to select articles for this collection called for the articles to have a clear purpose and be related to a contemporary topic in the elementary school…