Cognitive activation is an approach to instruction associated with increased mathematical achievement and engagement. However, researchers have questioned its effectiveness for students with different learner characteristics. A Year 6 class participated in a lesson designed using cognitive activation practices. Interviews with ten case study…

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…

This study investigated potential gender differences in a sample of 807 Year 6 Singaporean students in relation to two variables: spatial visualisation ability and cognitive style. In contrast to the general trend, overall there were no significant gender differences on spatial visualisation ability. However, gender differences were prevalent…

Gap thinking has been categorised as one of several whole number strategies that interfere with early fraction understanding. This study showed that this claim is not supported by interview data of Grade 6 students' gap thinking explanations during a fraction pair comparison task. A correlation with equivalence performance was uncovered, leading…

This study uses the Mathematical Tasks Framework (Stein & Smith, 1998) to assess the cognitive demand of mathematical tasks implemented in four mathematics classrooms, and to investigate the role of technology in both low- and high-level cognitive demand tasks. The metaphor of using technology as an amplifier or reorganizer (Pea, 1987) is used…

The purpose of this paper is to determine whether the changes that were found to occur pre- to post intervention in students' cognitive structures (Mills, 2013; Knezek, Christensen, Tyler-Wood, & Periathiruvadi, 2013) continued to persist two years later. Major findings were: a) semantic perception of science and STEM as a career became more…

Our study concerns the analysis of teacher and student activities. Secondary school 6th grade students were confronted, for the first time, with solving equations. We used our cognitive models of students and experts (in algebraic calculations) for analyzing the teaching process and the cognitive functioning of students. Our model led us to…

Open-ended tasks were used to examine gender differences in complex mathematical problem solving. The results of this study suggest that, overall, males perform better than females, but the gender differences vary from task to task. A qualitative analysis of student responses to those tasks with gender differences showed that male and female…

This study considered the effects of gender and cognitive processing capacity on achievement of students at an intermediate school. The capacity test developed by J. M. Furukawa (1970, 1977), which requires examinees to recall word pairs immediately after a brief exposure, was modified for use with these students. The test was adopted because it…

The effects of overt, covert, and summary practice conditions on four levels of learning were examined. One hundred twenty-two middle class sixth-grade students were randomly assigned to practice condition. Passages about energy sources were read by the students and oral reviews were directed according to treatment. The summary group was given a…

A study investigated the effectiveness of a story structure questioning strategy upon the reading comprehension of sixth grade students. An alternate questioning strategy was used as a comparison treatment, and involved more traditional literal, interpretative, and problem solving questions. On the basis of reading level scores, 100 students were…

A study investigated the effects of induced mental imagery upon the comprehension of oral versus written discourse for above and below average readers. A secondary purpose of the study was to determine, through a follow-up interview, the students' ability to induce mental imagery. Sixty-three sixth grade students with above or below average…

A study to determine the effects of higher level interactive questioning procedures on the cognitive abilities of gifted students was conducted with 14 gifted sixth grade students. The students were selected from a public school enrichment program and randomly assigned to one of two groups that met for five weekly sessions. The control group was…

The ability to comprehend the gist and the main ideas of a passage are important textbook reading skills. Since research into children's ability to extract the central thoughts from prose has produced mixed findings, a study was undertaken to determine how skillful children are at comprehending the gist and the main ideas of a passage. To insure…

One year after sixth grade students participated in an instructional intervention experiment aimed at teaching reflective planning skills in writing, a followup study focused on evidence of reflectivity in attitudes and metacognitive knowledge concerning writing. This study was conducted with 16 experimental and 13 control students. Data were…