Explores the close relationship between pattern formation and traditional geometry using the LOGO programing language with the specific example of joining squares, corner to corner, to form a closed ring. Includes the LOGO programs utilized, as well as color illustrations of the interesting and eye-catching patterns generated. (JJK)

Using the notion of the difference between a number and its cube as a starting point, this article presents a wide range of mathematical activities at varying levels of sophistication utilizing numerical, intuitive, and graphical approaches. (JJK)

Discusses elementary school mathematics instruction and describes the design and construction of a database with nonroutine problem-solving situations. A classification for the problems is explained, and use of the database at Indiana University and its potential use by elementary school teachers are described. (four references) (LRW)

Considers children's literature as a tool for teaching mathematics. Ways that children's literature can help achieve the goals established by the National Council of Teachers of Mathematics are discussed, and use of children's books to explore topics such as measurement, multiplication, estimation, and subtraction is examined. A bibliography of 41…

This article draws together three papers (EC 603 155, EC 603 157, and EC 603 158) on metacognitive theory in literacy, writing, and mathematics acquisition of children with learning disabilities. Topics discussed include self-regulation, the reciprocal relationship between self-regulated learning and motivational beliefs, and the classroom role of…

Research advocating classroom use of the computer programming language LOGO is based on relatively long periods of instruction, plentiful provision of computers, and knowledgeable teachers. Recent research shows that LOGO may confuse children's understanding of angles. Considers implications for Scottish primary schools using LOGO as recommended…

Presents a hands-on approach to developing connections between mathematics and other subject areas by using thematic webbing. Includes a sample brainstorming aid plus a sample web and thematic unit on teddy bears. (Contains 36 references.) (MKR)

Describes the use of children's literature to explore the concepts of length and partitioning in division in a first-grade classroom. Provides samples of children's illustrations and discussions. (MKR)

Discusses effectiveness of hints given to (n=100) ninth-grade students solving nonstandard problems on functions. Hints that stimulated concrete action were effective if the action modeled the required solution method. Hints that only warned against certain mistakes were ineffective. Appendix includes problems and hints. (MKR/Author)

Using story-writing to teach math gives students a chance to play with mathematical processes in a low-pressure way. By encouraging students to apply math concepts within a narrative, teachers can see how well students understand the concepts. The article presents five story-making activities to enhance mathematics skills. (SM)

Describes the CALM (Computer Aided Learning in Mathematics) Project developed at the Heriot-Watt University (Scotland) for teaching calculus; reports on the next phase of CALM following further funding from British industry; and discusses future possibilities through the work of the United Kingdom Mathematics Courseware Consortium. (Contains eight…

This article describes "Thinking Actively in a Social Context," a multiphase model to assist in the development of problem-solving courses based on student needs and experiences. An example of such an interdisciplinary course (simulating a new settlement on another planet) for high ability children in grades five, six, and seven is detailed. (DB)

Introduces the idea of using computer microworlds--interactive software for exploration of specific concepts--for mathematics education, the theme of this issue's articles. Discusses their development and the advantages of their use. Suggests that they can be successfully used for interactive teaching or for interpreting mathematics textbooks,…

Reports a case study exploring how 2 16-year olds were enabled to capitalize on the potential of errors to stimulate and support mathematical inquiry. Discusses variations within the strategy of using errors to enhance mathematics instruction. Appendix includes list of instructional episodes and error activities. (Contains 56 references.) (MKR)

Describes studies of children involved in cognitive play activities using discrete and continuous computer microworlds and their transformation of these activities into independent mathematical activity. (Contains 22 references.) (MKR)