The concept of intellectual need, which proposes that learning is the result of students wrestling with a problem that is unsolvable by their current knowledge, has been used in instructional design for many years. However, prior research has not described a way to empirically determine whether, and to what extent, students experience intellectual…

High dropout rates in the first year of undergraduate studies are an expression of the secondary-tertiary transition problem and they seem to be particularly high in those degree programs where specialized mathematics courses are taught in the first year of study. Research shows that students' difficulties during the transition period cannot be…

This paper has two main goals: first, to analyze current research related with transition to identify the foci being produced and reproduced by research through a literature review and, second, to map the connections between circulating discourses to unfold the discursive network that supports them via an intensive reading. Specifically, we are…

In this article we report on a study focused on revealing and categorizing the arguments that preservice mathematics teachers put forward when they are asked about why mathematics is taught, which is a question closely related to the justification problem in mathematics education. Another focus of the study is the identification of myths within…

Different issues that cause anxiety in people such as future plans, academic success, self-confidence, and health have caused increase in the number of researches focusing on the role of art and music in life. The support of music education in many different development areas of individuals, especially children, has been proven by many studies in…

Some scientists and public figures have hypothesized that women and men differ in their pursuit of careers in science, technology, engineering, and mathematics (STEM) owing to biological differences in mathematics aptitude. However, little evidence supports such claims. Some studies of children and adults show gender differences in mathematics…

Conservation and executive function (EF) are important early childhood skills; however, knowledge about their relationship is scarce. Hence, in this study, this relationship is investigated, and a comparison is conducted between the Piagetian conservation and EF tasks to obtain the total hemoglobin (mMmm) for the left and right brain activity in…

The purpose of this article is to show how the philosophical theory of inferentialism can be used to understand students' conceptual development in the field of mathematics. Based on the works of philosophers such as Robert Brandom, an epistemological theory in mathematics education is presented that offers the opportunity to trace students'…

Supporting young students in developing meanings for the set-theoretic function definition is emphasized in 6th-12th grade curricula around the world. In prior work, we have highlighted how covariational reasoning supports college students in constructing relationships that afford considering mathematical properties important for a set-theoretic…

In this paper, the application of fuzzy logic in mathematical education is viewed from the perspective of pre- school education. The aim of the paper is to give a brief overview of examples from the literature related to fuzzy logic and to point out the presence of fuzzy linguistic variables in the everyday life of a preschool child, as well as…

This qualitative study developed a preparation series to prepare principals in the approach of Cognitively Guided Instruction (CGI) to support teachers in implementation. The series included six virtual sessions that prepared principals in understanding the "Why" behind CGI, the connection to the state standards, number sense routines,…

This article examines the literature associated with social constructivism. It discusses whether social constructivism succeeds in reconciling individual cognition with social teaching and learning practices. After reviewing the meaning of individual cognition and social constructivism, two views--Piaget and Vygotsky's--accounting for learning…

Curriculum as a blueprint for the development and delivery of education in a country has been viewed from varied perspectives. Aoki (2004) gave three perspectives to school, which are the "rational thinking", "doing" and "being and becoming". The first perspective connotes that teaching seeks to provide learners with…

In recent years, scholars have increasingly advocated the importance of cultivating non-cognitive skills (social and emotional skills) in early childhood, and play is useful in acquiring the skills. Simultaneously, young children also need to acquire mathematical cognitive skills as a learning foundation. However, many researchers have indicated…

In this note, I argue for and discuss my experiences with explicitly incorporating principles of critical and creative thinking in a transitions course which serves mathematics, mathematics education, and statistics majors. I describe several specific assignments and classroom tasks designed to enhance critical and creative thinking. I also…