Despite the introduction of Common Core State Standards and the National Council of Teachers of Mathematics urging educators to explore fundamental concepts in mathematics at a deeper level, the majority of mathematics education has remained aimed at initial skill acquisition. The result has led to students learning to mimic a standard set of…

We present a case of one teacher's engagement in project-based learning for algebra I students. This teacher was a member of a cohort of mathematics teachers and career technical educators who participated in a two-week intensive summer institute investigating autonomous vehicles. During the academic year, the follow up support for these educators…

Moving among levels of abstraction is an important skill in mathematics and computer science, and students show similar difficulties when applying abstraction in each discipline. While computer science educators have examined ways to explicitly teach students how to consciously navigate levels of abstraction, these ideas have not been explored in…

With the increased focus on computational thinking (CT) in education, it is important to investigate the affordances that CT may offer to support teaching and learning. This paper outlines five affordances of CT that may support elementary mathematics education, whose conceptualization was refined in a year-long study involving eight Grades 3-4…

With the increasing advocacy for Computational Thinking (CT) integration in K-12 education, it is important to consider how teacher education programs could better prepare teacher candidates (TCs). At the Faculty of Education at Western University, CT has been included in the curriculum as part of the teacher education program through the course…

Teaching undergraduates the basic properties of an estimator can be difficult. Most definitions are easy enough to comprehend, but difficulties often lie in gaining a "good feel" for these properties and why one property might be more desired as compared to another property. Simulations which involve visualization of these properties can…

Part of a larger initiation mixed methods study (Greene, Caracelli, & Graham, 1989), this paper discusses the changes in young children's learning performance and efficiency (one element of the quantitative portion of the larger study) during clinical interviews in which each child interacted with a variety of virtual manipulative…

This article presents 12 examples of the use of a calculator in the algebra class. The calculator codes and the mathematical formulas of the examples are presented in the appendix. (Author/YP)

Found that there was significantly improved achievement of students whose teachers received diagnostic error information from a microcomputer program compared to teachers who did not receive such information. Explanations for the improved achievement and implications for mathematics instruction are addressed. (JN)

Discusses: (1) advantages of a computer lab; (2) types of computer programs that can help students develop computational, application, comprehension, and analytical skills; (3) how computers can help students with such affective goals as appreciation and motivation toward mathematics; and (4) content areas where computers can be useful. (JN)

Described is a short program for teaching and learning about geometric transformations. The integration of geometry problem solving and BASIC programing is discussed. Applications of computer graphics are illustrated. (CW)

Reviewed are two microcomputer software packages which may be useful in mathematics education: "Hands-On Math Volume 3," and "MathCAD 2.5." Listed are the educational level, hardware requirements, package contents, cost, and availability. Discussed are the functions, applications, strengths and weaknesses of each package. (CW)

This paper advocates the use of symbolic computation packages as another aid in teaching geometry. The need for such packages and their use in computerized proofs are demonstrated by a problem in high school planar geometry. (LZ)

Analyzes and refutes the arguments made by "back-to-basics" proponents against the use of calculators and for traditional instruction in the algorithms of pencil-and-paper arithmetic. Argues for the value of mental arithmetic in achieving all the aims and more of the traditional curriculum. (Author/ASK)

Explores some classic Fibonacci problems with the aid of AppleWorks spreadsheets calculations. Provides problems and spreadsheets for solving them. (Author/YP)