Mathematics and science have similar learning processes (SLPs) and it has been proposed that courses focused on these and other similarities promote transfer across disciplines. However, it is not known how the use of these processes in lessons taught to children change throughout a preservice teacher education course or which are most likely to…

STEM education in elementary school is guided by the understanding that engineering represents the application of science and math concepts to make life better for people. The Engineering Design Process (EDP) guides the application of creative solutions to problems. Helping teachers understand how to apply the EDP to create lessons develops a…

Results of mathematics education research in problem solving activities of third-grade children are covered. The assumption that the horizontal number sentence is a useful tool for solving verbal problems is questioned. (MP)

Clarifies the relationship between oral reading accuracy and the ability to solve worded arithmetic problems using literature reviews. Discusses the implications of oral reading and lists eight guidelines for mathematics teachers. Thirty-seven references are listed. (YP)

Investigated was the presence and role of cue words in word problems found in three mathematics textbooks series. The methodology and results of the study are presented. Lists of cue words for grades 3-6 are provided. (CW)

Investigates gender-related effects of a problem-solving plan for sixth graders (n=155). Analysis indicates a significant interaction effect of occasion of testing, test sequence, and gender. Concludes that females benefited from free exploration, of problem situations followed by an organized exploration whereas males appeared to function equally…

Provides guidelines for developing and implementing lessons using selections from children's literature as meaningful and appropriate contexts for solving word problems. Selection procedures, materials for constructing the characters, and two sample problems are provided. Lists 15 references. (YP)

Described is a study in which elementary education students were asked to solve word problems by looking at the mathematical structure or the surface structure of the problems. Included are the methodology, data analysis, results, and discussion. The word problems used in the study are appended. (KR)

Discusses the role of teacher questioning in the development of a child's concepts of and about mathematics. Proposes the development of mathematical concepts and procedures in problem-solving situations through questioning that engages student thinking and decision making. (MDH)

Examines elementary students' perspectives on the engagement potential of particular mathematical problems and students' views on classroom problem-solving activities in general. Nonroutine examples that focused on important reasoning processes and did not involve computation had the greatest engagement potential, whereas computational problems…

Presents the six major components of the Directed Reading Activity strategy: Developing Vocabulary, Building Background and motivation, Setting the Purpose, Guiding Silent Reading, Questioning to Determine Comprehension, and Rereading, as applied to mathematical problem solving, resulting in a directed mathematics activity. (MDH)

Studied fifth-grade (n=10) teachers' and (n=20) students' beliefs about mathematical problem solving, attributions for the causes of performance in problem solving, and beliefs about the teaching and learning of problem solving in mathematics. Gives four general conclusions. (17 references) (Author/MKR)

Examines 250 sixth-grade students' understanding of arithmetic average by assessing their understanding of the computational algorithm. Results indicate that the majority of the students knew the "add-them-all-up-and-divide" averaging algorithm, but only half of the students were able to correctly apply the algorithm to solve a…

Compares the ability of students in Michigan (N=302) and Scotland (N=221) to do simple calculation exercises and relational/practical problems involving number and operation. Although this is not a controlled statistical study (data collected included birth date and sex), sample sizes are sufficient to make the reported results meaningful. (JN)

Five calculator activities are described that are designed to explore ordered operations. Suggestions are given on mathematical objectives, strategies for solving, and possible extensions or follow-up activities. (MP)