Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems…

We investigated the impact of assistance on learning and affect during problem-solving activities with a computer tutor we built using the Cognitive Tutor Authoring Tools framework. The tutor delivered its primary form of assistance in the form of worked-out examples. We manipulated the level of assistance the examples in the tutor provided, by…

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…

The transition to Common Core State Standards for Mathematics has created a need for high-quality professional learning on content and pedagogy. This is especially true for algebra 1 teachers in Florida, where students must pass a standards-based exam as a requirement to earning a high school diploma. Time, distance, and cost constraints can get…

Describes the use of an application for TI-83 and TI-92 calculators called the Symbolic Math Guide (SMG) for teaching and learning the laws of exponents in algebra. Discusses ways in which the SMG can be used for teaching, review, and testing. (MM)

This article presents several activities (some involving graphing calculators) designed to guide students to discover several interesting properties of Fibonacci numbers. Then, we explore interesting connections between Fibonacci numbers and matrices; using this connection and induction we prove divisibility properties of Fibonacci numbers.

Discusses the benefits of new technologies, especially graphing calculators, in the teaching and learning of mathematics. Presents two activities for teaching algebra and regression using graphing calculators. (ASK)

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)

Describes the use of the TI-73 calculator to support and enhance the teaching of mathematics with 9-11 year old students. Topics include equivalent fractions, algebra, and data handling. (MM)

Discusses reasons for using spreadsheets in mathematics education. Presents mathematics activities for beginning algebra classes using spreadsheets. (ASK)

Describes the implementation of graphing calculators as teaching and learning aids in an intermediate linear algebra unit at the undergraduate level. Outlines the approach taken and discusses the problems that arose in relation to calculator use. (ASK)

This paper discusses uses of TI-73 graphing calculators for middle school mathematics students. It indicates that with the appropriate use of the TI-73, students can develop understanding about variables and basic concepts of algebra, and explore mathematical topics. Background on middle school students' difficulties with those subjects is…

This book seeks to develop, enhance, and expand students' understanding of mathematics by using technology. Topics covered include the advantages of spreadsheets along with the opportunity to explore the 'what if?' type of questions encountered in the problem-solving process, enhancing the user's insight into the development and use of algorithms,…

Presents an activity that utilizes a digital camera to capture a stream of water from a faucet to study quadratic behavior using graphing calculators. (ASK)

Argues that teachers and lecturers need to identify essential skills which are technology-independent and need to determine the most effective use of new technology in the classroom. Examines prospects for change using the newer technology of graphing calculators for mathematics courses. Contains 15 references. (ASK)