The purposes of calculus courses are often the acquisition of knowledge itself, the development of skills and the understanding of important concepts, such as functions, derivatives, the chain rule, integrals and the fundamental theorem of calculus. However, full conceptual understanding is frequently not achieved. In this article, we examine the…

Co-operative group learning is known to be an effective instructional practice, especially for mathematics. While group work can be incorporated into the classroom in multiple ways, not every group is a co-operative learning community. In the current study, class observations and preservice teacher interviews were used to compare experiences…

This article uses Culturally Relevant Pedagogy (CRP) and Culturally Responsive Teaching (CRT) as the theoretical frameworks and qualitative metasynthesis as the methodological framework to synthesize qualitative research published between 1994 and February of 2016. Initial searches produced 1,224 articles, but through a process of appraisals, 12…

In many countries, there is pressure for schools to increase student engagement and skills in mathematics, in particular for disadvantaged students. This is certainly true in Australia. This study repurposes school level data to examine patterns of participation and achievement in senior secondary school mathematics in Victoria, Australia. It…

The probability is exceptional in the teaching of mathematics because students often have difficulties to understand the basic terms and the problem solving strategies. Understanding lacks of the probability concept and various types of misconceptions arise from the misleading intuition and misinterpretations of experience with the stochastic…

This study aims to analyze the effectiveness of learning materials oriented on problem-based learning models, the improvement mathematical problem solving ability and students' metacognition ability. Learning materials that developed are lesson plan, student book, student worksheet, mathematical problem solving ability and students' metacognition…

We compared students' learning gains in authentic seventh-grade classrooms (N = 144) in 4 different interventions that incorporated a computer game that aims to teach players to solve linear equations. Significantly higher learning gains were measured in the implementations that were specifically designed to mediate the attribution of algebraic…

This study investigated the extent to which Hispanic newcomer ELLs in grades 4 and 5, who received math instruction in Spanish, improved their math scores in district and state tests as compared to ELLs who received math instruction in English only. Descriptive and inferential statistics such as frequency distribution, variability, and ttests…

The ability to reason inferentially is increasingly important in today's society. It is hypothesized here that engaging primary school students in informal statistical reasoning (ISI), defined as making generalizations without the use of formal statistical tests, will help them acquire the foundations for inferential and statistical thinking.…

This study focuses on a comparison of personal meanings that students from Finland (FIN) and Germany (GER) assign to (learning) mathematics. Participants are 256 Finnish and 276 German ninth graders. The survey consists of 18 scales that are based on the theory of personal meaning. The original German version was translated into Finnish. Using…

This paper compares the mixed-methods evaluation findings of the ukuFUNda Virtual School (UVS) with evaluations of three different mobile learning (m-learning) programmes in Africa: the information and communication technologies for rural education (ICT4RED); the Kenya Primary Math and Reading (PRIMR) study and the Nokia Mobile Mathematics…

Formative assessment benefits both students and teaching academics. In particular, formative assessment in mathematics subjects enables both students and teaching academics to assess individual performance and understanding through students' responses. Over the last decade, educational technologies and learning management systems (LMSs) are used…

Reflection is an important part of teaching and needs to be considered carefully. In this study, we examined a mathematics instructor's reflections on teaching linear algebra. The research team employed Tall's (How humans learn to think mathematically: exploring the three worlds of mathematics. Cambridge University Press, Cambridge, 2013)…

There is relatively little research specifically about student understanding of basis. Our ongoing work addresses student understanding of basis from an anti-deficit perspective, which focuses on the resources that students have to make sense of basis using everyday ideas. Using data from a group of women of color in the United States, we…

This study examined 105 preservice teachers' instructional strategies for developing dance-themed activities for young students during mathematics instruction. A pretest--posttest data collection design was used to investigate the changes in participants' teaching strategies before and after the intervention of dance with integrated mathematics…