The New Teachers Mathematics Staff Development Program for grades 9 through 12 is a combination of content and methodology. Teachers focus their attention on content, lesson planning, questioning, homework, and testing. This volume contains materials for eight workshop sessions. Sessions included are: (1) An Introduction to the New York City…

This document serves as Volume II of a two-part course designed to improve mathematical proficiency and understanding as the student is given practice in relevant problem-solving situations. It includes the mathematics skills needed to make sound consumer decisions. The purpose of this course is to review, reinforce and extend concepts learned in…

Suggests that a solution to the problem of expensive educational software may be found in public domain software. Included are a definition of public domain software, a discussion of the kinds of software that are in the public domain, ways to obtain such software, and a list of some examples. (PK)

Presents reviews of the four software packages "Blockers and Finders,""Decimal Squares Computer Programs: Decimal Concepts, Addition and Subtraction, Multiplication and Division, and a Data Disk,""Number Stumper," and "Object Logo, Version 1.5." The software packages include problem-solving activities and drill and practice programs. (PK)

Examines the effect of familiar and unfamiliar task content upon proportional reasoning abilities of ninth grade students. Uses content from chemistry and physics textbooks. Reports that student performance was higher on proportional reasoning problems involving familiar content than with unfamiliar content and that content famililarity interacted…

Reports a study to examine careless errors fifth-grade students (n=58) make while solving mathematical word problems and explores the type of student who frequently makes such errors. Results indicated that frequency of these errors was significantly related to the noncognitive variables of the study. Discusses implications for remediation. (20…

Identified and classified solution strategies of (n=49) 10th-grade students who were presented with linear programming problems in a predominantly visual setting in the form of a computerized game. Visual strategies were developed more frequently than either algebraic or mixed strategies. Appendix includes questionnaires. (Contains 11 references.)…

Presents activities designed to give students an opportunity to solve concrete problems involving spatial relationships and logical thinking utilizing hands-on manipulatives. Provides teacher instructions and four reproducible worksheets. (MDH)

Explored relationships between 137 grade-8 cognitive items used in the 1990 National Assessment of Educational Progress and selected themes from the National Council of Teachers of Mathematics'"Standards." About half the items related to four "Standards" themes, with most of those being related to problem solving and reasoning.…

The main aim of the Organisational Committee of the international scientific colloquium Mathematics and Children is to encourage additional scientific research in the field of mathematics teaching in Croatia. The development of science and education is a part of a long-term Education Sector Development Plan 2005-2010. Following the example of…

Incorporating business skills such as problem-solving, public presentations, collaboration, and self-direction into STEM (science, technology, engineering and mathematics) subjects is an excellent way to build students' enthusiasm for these disciplines. When educators add workplace internships to the learning experience, they are well on their way…

In spite of the continued focus on problem solving, American elementary and middle grades schoolchildren are perceived to be ineffective problem solvers. This paper reports the results of a survey of (n=744) kindergarten through eighth grade teachers and interviews and observations of a primary and an intermediate master teacher designed to answer…

This paper proposes a theory that can account for differences between everyday and formal mathematics knowledge and a set of processes by which informal knowledge is transformed into formal mathematics. After an introduction, the paper is developed in five sections. The first section lays out the nature of informal, everyday mathematics knowledge.…

A secondary mathematics curriculum of open-ended non-routine problems developed by a teacher of high school math over 10 years is described. An open-ended non-routine problem is one that requires problem recognition and orientation, effort, and persistence. It is open-ended in that it allows for various solutions, and requires the student to…

This document contains an inservice presentation for teaching common problem solving strategies in mathematics word problems. Sections included are: (1) "Introduction"; (2) "Common Word Problem Strategies"; (3) "Break into Parts"; (4) "Guess and Check/Test"; (5) "Working Backwards"; (6) "Look For a Pattern"; (7) "Make or Construct a Table, Chart,…