Assessment of students' critical thinking and problem solving in engineering is a real challenge for classroom teachers and researchers. Yet, students demonstrate evidence of learning through multiple means, including written reflections. The purpose of this study was to explore how students in grades 5 and 7 reflect on what they had learned about…

To examine inconsistent past findings on green schools' influences on students, a mediation model was tested for 1903 Israeli students in Grades 5-6 in 30 green and 16 non-green schools. Results indicated that green school students reported more pro-environmental behavior (PEB) and more school satisfaction compared to their peers at non-green…

The Puppy Love problem asked fifth and sixth grade students to use their prior knowledge of measures of central tendency to determine a data set when given the mean, mode, median, and range of the set. The problem discussed in this article is a task with a higher level of cognitive demand because it requires that students (1) explore and…

Based on the findings of a larger study on middle school students' problem solving behaviors, we identified three sub-components for understanding the iteration of unit area in this paper: the mechanism of iteration, an identical unit, and the specificity of the identical unit. A three-stage progression on the acquisition of these components is…

The purpose of this study was to examine the epistemological beliefs of middle school students in rural area and their attitudes toward solving mathematical problems according to gender and class level variables. It was also necessary to determine whether the epistemological beliefs of middle school students in rural area had predicted their…

Makerspaces provide a viable option for constructing and sharing knowledge in schools. Inherent in the designing, tinkering, and playing that learners engage in through making are competencies, such as the ability to create, problem solve, and innovate, decreed as critical by education policymakers. This paper summarizes results from a study in a…

Item stem formats can alter the cognitive complexity as well as the type of abilities required for solving mathematics items. Consequently, it is possible that item stem formats can affect the dimensional structure of mathematics assessments. This empirical study investigated the relationship between item stem format and the dimensionality of…

REL Southeast developed this facilitator's guide on the topic of mathematical problem solving for use in professional learning community (PLC) settings. The facilitator's guide is a set of professional development materials designed to supplement the What Works Clearinghouse practice guide, Improving Mathematical Problem Solving in Grades 4…

This dissertation targets young students' developing knowledge relevant to a fundamental practice in academic mathematics: the use of diagrams to represent idealized mathematical objects whose properties are established by definition (as in the use of drawn dots to represent zero-dimensional points and drawn lines to represent one-dimensional…

While previous studies mainly focused on children's additive and multiplicative reasoning abilities, we studied third to sixth graders' "preference" for additive or multiplicative relations. This was investigated by means of schematic problems that were "open" to both types of relations, namely arrow schemes containing three…

This study examines the role of spatial reasoning in learning among 5th and 6th grade students participating in a set of in-school, technology-enhanced, STEAM (science, technology, engineering, arts, and math) making activities. We focus our analysis on a particular type of reasoning: spatial reasoning. Prior research has shown that spatial…

This paper analyses the tasks allotted to students, featuring two thematic units in the 6th grade Geography textbook published in 2018 by the Didactic and Pedagogic Publishing House Ltd., Bucharest and used in the schools in Romania during the 2018-2019 school year. After a brief analysis of the textbook and its lesson structure, we studied the…

When dividing one fraction by a second fraction, invert, that is, flip the second fraction, then multiply it by the first fraction. To multiply fractions, simply multiply across the denominators, and multiply across the numerators to get the resultant fraction. So by inverting the division of fractions it is turned into an easy multiplication of…

An astronomy "experiment" composed of three parts is described in the article. Being given necessary data a simple model of inner planets of the solar system is made in the first part with planets' circular orbits using appropriate scale. In the second part revolution of the figurines used as model representations of the planets along…

The Department of Basic Education in South Africa has identified factorisation as a problem area in Mathematics teaching. Learners in earlier grades are exposed to mathematical tasks, involving concepts, such as factors of integers, fractions, equivalent fractions and prime numbers, that are easier to solve when the divisibility rules are applied.…