According to our approach to mathematics education, the optimal aim of the teaching of mathematics is to assist students in achieving efficient mathematical work. But, what does efficient exactly mean in that case? And how can teachers reach this objective? The model of Mathematical Working Spaces with its three dimensions--semiotic, instrumental,…

Introduction: This study analyses the predictive role of several specific components of early numerical skills on the fluency calculation. Method: A total of 122 students (Mean age = 69.89 months; SD = 3.44), 54 girls and 68 boys participated in the study. The early numeracy skills were assessed by the end of pre primary school education, and…

Mathematical proficiency serves as a foundation for student success in the classroom and real world. One component of mathematical proficiency is fluency with basic facts. Frequently, students with mathematics difficulties struggle to become proficient and fluent in the four basic operations. Interventions are available to help develop and promote…

Engagement in problem-solving and mathematical discussion is critical for learning mathematics. This research review describes a gap in the literature surrounding engagement of students with Learning Disabilities in standards-based mathematical classrooms. Taking a sociocultural view of engagement as participation in mathematical practices, this…

This report examines teachers' self-espoused attitudes and beliefs on proving in the secondary mathematics classroom. Conclusions were based on a questionnaire of 78 US mathematics teachers who had completed at least 2 years of teaching mathematics at the secondary level. While these teachers placed importance on proving as a general mathematical…

Application of mathematical and statistical thinking and reasoning, typically referred to as quantitative skills, is essential for university bioscience students. First, this study developed an assessment task intended to gauge graduating students' quantitative skills. The Quantitative Skills Assessment of Science Students (QSASS) was the result,…

The Common Core State Standards for mathematics promote ideals about learning mathematics by providing specific standards focused on conceptual understanding and incorporating practices in which students must participate to develop conceptual understanding. Thus, how we define learning is pivotal because our current definition isn't aligned with…

The calculus concepts of concavity and inflection points are often given meaning through the shape or curvature of a graph. However, there appear to be deeper core ideas for these two concepts, though the research literature has yet to give explicit attention to what these core ideas might be or what it might mean to "understand" them.…

This quasi-experimental post-test only control group designed quantitative study examined whether or not members of an experimental group of participants who utilized two metacognitive strategy training regimens experienced a significant increase in their ACT mathematics sub-test scores compared to a group of students who did not utilize either of…

Certain item features can be used to explain the difference between the difficulties of items. These item features can relate to the steps necessary to solve the problems or ways in which a increased understanding of material is acquired. This study will examine the relationship between item difficulty and the process skills associated with these…

This study investigates the impact of adding an adaptive computer assisted instruction (CAI) program to current Head Start curriculum on low SES, African American pre-kindergarten students' reading and math gains. Students completed pre- and post-testing with a standardized reading and math measure in order to determine relative gains. The results…

The purpose of this study was to investigate the incremental validity of a set of domain general cognitive measures added to a traditional screening battery of early numeracy measures. The sample consisted of 458 kindergarten students of whom 285 were designated as severely at-risk for mathematics difficulty. Hierarchical multiple regression…

In this study whether the expectancy belief has a mediating role in the correlation between cost value perception and task value perception of gifted students towards mathematics was examined. It is predicted that the correlation between cost value and task value perceptions of gifted students towards mathematics can change according to their…

In the context of a generic harmonic oscillator, we investigated students' accuracy in determining the period, frequency, and angular frequency from mathematical and graphical representations. In a series of studies including interviews, free response tests, and multiple-choice tests developed in an iterative process, we assessed students in both…

DNA barcoding is increasingly being introduced into biological science educational curricula worldwide. The technique has a number of features that make it ideal for science curricula and particularly for Project-Based Learning (PBL). This report outlines the development of a DNA barcoding project in an Australian TAFE college, which also combined…