Many fraction activities rely on the use of area models for developing partitioning skills. These models, however, are limited in their ability to assist students to visualise a fraction of an object when the whole changes. This article describes a fraction modelling activity that requires the transfer of water from one container to another. The…

The authors introduce an educational video game (application, or "app"), "CandyFactory Educational Game," designed to promote students' development of partitive understanding of fractions while demonstrating the critical need to promote that development. The app includes essential game features of immediate feedback,…

The learning sequence described in this article was developed to provide students with a demonstration of the development of box plots from authentic data as an illustration of the advantages gained from using multiple forms of data representation. The sequence follows an authentic process that starts with a problem to which data representations…

Incorporating algebra into the elementary grades has become a focus for teachers, principals, and administrators across the country. The Dinner Tables problem described in this article is a lesson commonly used in elementary grades for its algebraic potential. Instructional strategies for supporting algebra instruction use an example from a…

Examines samples of the use of context in five innovative curricula to reflect on what role it plays in the teaching and learning of mathematics. (Author)

Describes the specific courses in a sequence along with how the writing has been implemented in each course. Provides ideas for how to efficiently handle the additional paper load so students receive the necessary feedback while keeping the grading time reasonable. (Author/ASK)

Describes a geometry course that attempts to prepare prospective mathematics teachers to meet the goals described in the Standards. (ASK)

Historical background and mathematical development of Riemann's rearrangement theorem are presented. The theorem is stated and proved in two parts. (PK)

Profiles a middle school mathematics teacher and examines her use of two problems from a pilot version of a 6th grade unit developed by a mathematics curriculum project. Reports that problem-solving-oriented curricula provide opportunities for students to make mathematics connections and leads to student confusion and uncertainty. Contains 35…

This standards document begins with a brief introduction and overview outlining and explaining a vision for mathematics teaching and learning in South Dakota, the purpose of the document, and the structure/organization of the document. Goals, rationales, and indicators for South Dakota Mathematics are also listed along with the South Dakota…

Discussed are summary recommendations concerning the integration of some aspects of discrete mathematics into existing secondary mathematics courses. Outlines of course activities are grouped into the three levels of prealgebra, algebra, and geometry. Some sample problems are included. (JJK)

While many technological capabilities are under development and may turn out to be an optimal future microworld, it is necessary to study the current widespread solution of supporting exploration and learning of school algebra with packages of mathematics software components. Describes and discusses software tools for school algebra. (Contains 45…

Examined is the teaching of mathematics for six to eight year olds in one classroom in Denmark. Examination is made of the textbook; discussion; activities; workcards; supplementary exercises; topic work; and games. Evaluation is designed to help students improve. (MP)

This book describes how teachers have taught students to behave like working mathematicians who conjecture and prove within a community of learners through the use of microcomputers and the "Geometric Supposers" software. The first section discusses the definition and importance of the conjecture, describes inquiry skills and understandings…

Considered is the following question: If a consumer loan is prepaid before the contract time, how much of the total interest should be paid to the lending institution? Discusses the validity of the rule and demonstrates strategies for answering interest questions. (PK)