The purpose of this research was to show open-ended questions about surface area and beam volume which valid and practice, have potential effect. This research is research development which consists of two main phases: preliminary phase (preparation phase and problem design) and formative evaluation phase (evaluation and revision phases). The…

Strategy flexibility, adaptivity, and the use of clever shortcut strategies are of major importance in current primary school mathematics education worldwide. However, empirical results show that primary school students use such shortcut strategies rather infrequently. The aims of the present study were to analyze the extent to which Dutch sixth…

Because business statistics students often experience a lack of statistical motivation, business educators need to understand the factors that influence students' motivation levels in undergraduate-level business statistics courses. The purpose of this study was to examine the role of math self-efficacy and self-compassion on students' motivation…

Through the lenses of statistical investigations and cognitive demands, we examined bivariate data tasks offered in US high school mathematics textbook series--a popular representative of three curriculum types: traditional, integrated, and hybrid. We developed a framework grounded in literature of association topics for the inclusion and…

This action research study describes the effects of implementing performance-based assessments in a second grade mathematics classroom. The focus of this study is on reducing traditional testing methods and moving toward more authentic assessments within mathematics, specifically in the form of performance assessments. The study was grounded in a…

This study investigated the cognitive factors that impact the completion of mathematics problems, specifically algebraic-reasoning, by individuals who use tactile materials (i.e., braille) compared to those who use print materials. The inquiry investigated working memory, task time, cognitive load, efficiency, and the predictive quality of…

Adults use a variety of strategies to reason about fraction magnitudes, and this variability is adaptive. In two studies, we examined the relationships between mathematics anxiety, working memory, strategy variability and performance on two fraction tasks: fraction magnitude "comparison" and "estimation." Adults with higher…

New competence-oriented learning goals can only be sustainably implemented if they are aligned with teaching and assessment goals. Within the fields of science, technology and mathematics education, one approach of competence-oriented teaching is based on the concept of inquiry-based education. Scientific inquiry in science, problem solving in…

This dissertation describes an empirical study that investigated how metacognitive training influenced lower achieving Algebra students' calibration accuracy, achievement, and development of mathematics literacy. Multiple methods were used to collect and analyze the data. Close analysis of students' work and classroom observations revealed that…

The role of mathematical education in everyday life, professional activities, attitude towards the role of mathematical knowledge in the labour market is widely discussed in the literature. To improve the studies of mathematics according to the trends in society development, it is necessary to find out the mathematics teaching philosophy as well…

Mathematics can be viewed as complex structures comprising intricate and profoundly useful webs of relationships. Students can experience mathematics in this way when working on mathematical tasks such as problem-solving, modelling, investigations or problem posing. Yet these kinds of tasks are seldom implemented in many upper-secondary and…

We examined the effects of an alternative classroom structure on self-efficacy and engagement of ninth-grade students who placed substantially below grade level in mathematics. We considered whether targeting both academic and social needs of these students would increase their self-efficacy and engagement by way of four teaching effects:…

This study tested a proposed model consisting of mathematics anxiety, mathematics self-efficacy, and implicit theories of intelligence in predicting mathematics and science career interest in middle school students, while controlling for student math level. One hundred fifty-two seventh-grade students in a middle school in the USA participated in…

This paper reports a two-year research project studying Indonesian primary and secondary teachers' mathematics-related beliefs (MrB) and mathematical problem-solving knowledge for teaching (MPSKT). In the first year, a quantitative study involving 80 primary teachers, 70 lower secondary school, and 55 upper secondary schools from four districts in…

The paper describes one problem solving strategy -- the Use of false assumption. The objective of the paper is to show, in accordance with Phylogenesis and Ontogenesis Theory, that it is worthwhile to reiterate the process of development of the concept of a variable and thus provide to pupils one of the ways helping them to eliminate usual…