Every day, 27,000 trees are used to make bathroom tissue. Americans use an average of 23.6 rolls per person per year, and more than 7 billion rolls of toilet paper are sold yearly in the United States alone. Perhaps the amount of bathroom tissue used can be reduced by changing the dimensions of the paper or the core. This brief article presents…

Problem solving has been a major theme in Japanese mathematics curricula for nearly 50 years. Numerous teacher reference books and lesson plans using problem solving have been published since the 1960s. Government-authorized mathematics textbooks for elementary grades, published by six private companies, have had more and more problem solving over…

According to numerous studies (Barrouillet & Camos 2002; Brousseau 1988; Chevallard 1988; Riley et al. 1984; Schubauer-Leoni & Ntamakiliro, "Revue Des Sciences de L'éducation," 20(1): 87-113, 1994; Vergnaud 1982; Xin, "The Journal of Educational Research," 100(6):347-360, 2007), a combination of many factors, including…

This article explores the benefits of using digital technology to support and enhance students' understanding during mathematical inquiry. The use of digital technologies enabled students to focus on the problem-solving aspects of the task such as how to compare and represent the data effectively.

Technology integration in K-12 mathematics has received increased attention in the last decade as new mathematical technologies have been developed and implemented more often. There is a need for further research on these technologies and for effective implementation practices of technology in mathematics education in general. in practice,…

This paper presents findings from a two-year qualitative study examining integration of computer science (CS) and computational thinking (CT) into elementary mathematics instruction. Integrated units were developed by elementary teachers and CS/CT coaches with support from university faculty with expertise in CS/CT and elementary mathematics.…

Despite the need to possess adequate problem-solving skills (Grady, Watkins, & Montalvo, 2014), mathematics performance among students--especially in urban communities, remains stagnant (NCES, 2003; TIMMS, 2015; NAEP, 2019). Langlie (2008) held problem-solving skills introduced in elementary schools would prepare students for tremendous…

Despite the need to possess adequate problem-solving skills (Grady, Watkins, & Montalvo, 2014), mathematics performance among students -- especially in urban communities, remains stagnant (NCES, 2003; TIMMS, 2015; NAEP, 2019). Langlie (2008) held problem-solving skills introduced in elementary schools would prepare students for tremendous…

Despite the need to possess adequate problem-solving skills (Grady, Watkins, & Montalvo, 2014), mathematics performance among students--especially in urban communities, remains stagnant (NCES, 2003; TIMMS, 2015; NAEP, 2019). Langlie (2008) held problem-solving skills introduced in elementary schools would prepare students for tremendous…

The purpose of this study was to investigate the perception of the experiences of community college students enrolled in a mathematics course with supplemental instruction (SI) attached. This study was conducted at a moderate-sized community college in Maryland. A qualitative research design was used, specifically a systematic approach design.…

The purpose of this study is to determine the progression of exemplifying and example generalization by students. We investigated whether example generalization occurs by analyzing collected data by identifying whether students recognize, describe, and define general features of geometric examples. We also investigate how example generalization…

Calculating Laplace transforms from the definition often requires tedious integrations. This paper provides an integration-free technique for calculating Laplace transforms of many familiar functions. It also shows how the technique can be applied to probability theory.

Comparison is a fundamental cognitive process that can support learning in a variety of domains, including mathematics. The current paper aims to summarize empirical findings that support recommendations on using comparison of multiple strategies in mathematics classrooms. We report the results of our classroom-based research on using comparison…

Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…

A mathematical mnemonic is a visual cue or verbal strategy that is used to aid initial memorisation and recall of a mathematical concept or procedure. Used wisely, mathematical mnemonics can benefit students' performance and understanding. Explorations into how mathematical mnemonics work can also offer students opportunities to engage in proof…