This curriculum guide outlines the mathematics objectives of each of the grades K-8 under the headings of operations, sentences and problem solving, numbers and numeration, measurement, geometry, statistics, and applications. Examples of each of the objectives are given. High school minimal skills are listed. The sequence of mathematics courses…

This study of individual differences in performance of a geometric analogies task included four-alternative test items and studied eye movements and confidence judgments as well as latency and error. Results were interpreted using two hypothesized performance strategies: constructive matching and response elimination. (Author/BW)

Presented is a study which focused on using turtle graphics programing for geometric problem solving. The goal was to investigate changes in children's mathematical knowledge and results indicate that the LOGO environment enriched children's geometric conceptualizations and sophistication of their geometric thinking. (KR)

Discussed are the major historical developments of geometry. Euclid, Descartes, Klein's Erlanger Program, Gaus and Riemann, globalization, topology, Elie Cartan, and an application to molecular biology are included as topics. (KR)

Presented is an activity in which students apply familiar concepts of geometry to novel settings. Using square dot paper and isometric dot paper, students trace routes and determine the geometry of each circle. (KR)

Middle-school students were asked to determine the dimensions of a hotel atrium so that guests could enjoy the maximum area of scenic view, given that 650 feet of brass railing could be used around each floor. Several solution approaches are described. (MKR)

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

Quilt-making is presented as an activity that helps elementary school children recognize and appreciate geometry in their world while developing their problem-solving skills. Students choose an appropriate pattern and cooperatively make the quilt. Related measurement questions and problems are provided. (MDH)

Presents a problem to determine conditions under which two identical masses, constrained to move along two perpendicular wires, would collide when positioned on the wires and released with no initial velocity. Offers a solution that utilizes the position of the center of mass and a computer simulation of the phenomenon. (MDH)

Presented are simple activities that can be completed by students at home with the help of a parent. Activities include the topics of sorting, patterning, counting and numbers, geometry, adding, subtracting, and measuring. Each activity describes a series of sequenced tasks related to one of the topics. (KR)

Investigated the effects of student working-memory capacity, preference for amount of instruction, spatial problem-solving ability, and school mathematics grades on eighth graders' recall of factual information and conceptual understanding. Pairs of students worked through 16 activities using a dynamic, computer-based geometry program. Presents…

Four computer-based training strategies for geometrical problem solving in the domain of computer numerically controlled machinery programming were studied with 60 Dutch secondary technical school students for effects on training performance, transfer of performance, and cognitive load. Results support the utility of worked examples for transfer…

This easy-to-navigate guide offers research-based teaching strategies for introducing prekindergarten and elementary school students to the content and skills recommended by the NCTM principles and standards for mathematics. Using the popular format of the "What Successful Teachers Do" books, the authors present 47 dynamic learning activities,…

The 12th iteration of the International Conference on Educational Data Mining (EDM 2019) is organized under the auspices of the International Educational Data Mining Society in Montreal, Canada. The theme of this year's conference is EDM in Open-Ended Domains. As EDM has matured it has increasingly been applied to open-ended and ill-defined tasks…

Two studies appear to reach unsatisfactory conclusions regarding causes of low math achievement among American Indians. Leap (1988) studied math problem-solving strategies among low-math-achieving fourth- and fifth-grade Ute reservation students. He concluded that faulty or cumbersome problem-solving strategies were directly linked to Ute language…