Lecturers of first-year mathematics often have reason to believe that students enter university studies with naïve conceptions of mathematics and that more mature conceptions need to be developed in the classroom. Students' conceptions of the nature and role of mathematics in current and future studies as well as future career are pedagogically…

As a percussive dancer, Malke Rosenfeld makes rhythm with her feet while she dances, and she also helps elementary students make their own percussive dance steps by integrating mathematics into her lesson plans. To do this she uses the Jump Patterns tool, a tool she developed during the first six years of her teaching artist career to help…

In this paper we present the results of an eye-tracking study on collaborative problem-solving dyads. Dyads remotely collaborated to learn from contrasting cases involving basic concepts about how the human brain processes visual information. In one condition, dyads saw the eye gazes of their partner on the screen; in a control group, they did not…

In this article, Garcia and Davis describe problem analysis as the process of examining a given mathematics exercise to find ways in which the problem can be modified and extended to create a richer learning opportunity for students. Students are often reluctant to attempt what they perceive to be higher-order thinking problems, but problem…

Problem solving likely involves at least two broad stages, problem space representation and then problem solution (Newell and Simon, Human problem solving, 1972). The metric centrality that Freeman ("Social Networks" 1:215-239, 1978) implemented in social network analysis is offered here as a potential measure of both. This development research…

Previous research into problem solving in physics resulted in researchers introducing six epistemic games to describe the organizational structures of locally coherent resources. We present a new epistemic game--the "answer-making epistemic game"--which was identified in this paper through the analysis of interviews carried out to validate a…

Thirty-six secondary school students aged 14-16 were interviewed while they chose between a table, a graph or a formula to solve three linear function problems. The justifications for their choices were classified as (1) task-related if they explicitly mentioned the to-be-solved problem, (2) subject-related if students mentioned their own…

Implementation, or treatment fidelity, is the link between evidence-based interventions and changes in student outcomes. Although higher levels of implementation are generally associated with more efficient improvements in student outcomes, research indicates that many adults struggle to consistently implement student interventions. As school…

Purpose: The purpose of this paper is to study the influence of problem-solving tasks on mentoring received, peer mentoring and mentoring provided. Design/methodology/approach: This cross-sectional survey was based on a questionnaire that was sent to a total of 435 employees from 29 pre-schools in Norway. A total of 284 responses were returned, a…

Terms to be familiar with before you start to solve the test: Maxam-Gilbert sequencing, Sanger sequencing, gel electrophoresis, DNA synthesis reaction, polymerase chain reaction, template, primer, DNA polymerase, deoxyribonucleoside triphosphates, orthophosphate, pyrophosphate, nucleoside monophosphates, luminescence, acid anhydride bond,…

While the average teenager's conversation may seem inundated with the word "like", in the mathematics classroom, teenagers use it with purpose. Linguists study the word "like" to understand and categorize comparative statements. By overlapping linguistics and mathematics education within the frame of cognitive science, this study found that high…

The National Council of Teachers of Mathematics (NCTM) and the Australian National Curriculum encourage the integration of literacy and numeracy, and "Teaching Children Mathematics" ("TCM") regularly includes articles on incorporating picture books into the mathematics program. Marston has developed a new framework (2010) to assist teachers in…

Most teachers agree that if a student understands a particular mathematical topic well, he/she will probably be able to do problems correctly. The converse, however, frequently fails: students who do problems correctly sometimes do not actually have robust understandings of the topic in question. In this paper we explore this phenomenon in the…

Research regarding the role of the school psychologist in response-to-intervention (RTI) and other multitiered systems of support is minimal (Ball & Christ, 2012). However, the National Association of School Psychologists' (NASP) "Model for Comprehensive and Integrated School Psychological Services" (2010), "Best Practices in…

The standing long jump was an Olympic event until 1912. In 1904, Ray Ewry set the world record for the longest standing long jump, which was about 11.5 feet, or 138 inches. Although the standing long jump is no longer an Olympic event, the Norwegians still include it in their National Competition, and Arne Tvervaag set a new world record at about…