In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…

In this paper, we present a novel approach to defining, teaching, and assessing creativity by examining its origins and delineating the processes involved. The rationale for introducing this framework developed from studying existing thinking and questioning the current metrics for measuring creativity, which we posit are unfit for purpose. We…

Special relativity theory (SRT) has recently gained popularity as a first introduction to "modern" physics thinking in upper level secondary physics education. A central idea in SRT is the absolute speed of light, with light propagating with uniform speed relative to the reference frame of the observer. Previous research suggests that…

The aim of this research is to analyse students' sense-making regarding matrix representation of geometric transformations in a dynamic geometry environment (DGE) within the perspective of semiotic mediation. In particular, the focus is on students' reasoning on the transition from the notion of function to transformation and to matrix…

Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

The development of computational thinking is as important as writing, reading and arithmetic, and, it should start as early as kindergarten (Wing, 2008). However, little has been done in terms of investigating the factors influencing the development of computational thinking in preschool education (Bers et al., 2014; Ching et al., 2018; Kazakoff…

Working with language-independent logic structures can help students develop both inductive and deductive reasoning skills. The Japanese publisher Nikoli (with resources available both in print and online) produces a treasure trove of language-independent logic puzzles. The Nikoli print resources are mostly in Japanese, creating the extra…

We present study findings that depict the natural and fractional number knowledge of one third grade student with learning disabilities (LDs) in seven experimental sessions. We utilize qualitative analysis methods to illustrate how this student evidenced her knowledge of natural number and fractions through her interactions with varied learning…

The purpose of this study is to determine the mathematics teacher performance category in building high order thinking skills (HOTS) of students. The study was conducted on 560 students taken randomly from ten junior high schools and eight high schools from eight districts in North Sumatra Province. Data collection techniques and instruments are…

The purpose of this paper is to consider most critical issues of mystical epistemology in Rumi and Bonaventura once the views on subject, reality of the world, and the possibility of knowledge were expressed. This research referring works of Rumi and Bonaventura studies this issue through a descriptive-analytical method. Rumi and Bonaventura…

The present study evaluated: (1) the effects of two training programs designed for promoting Theory of Mind (ToM) skills in children aged 7/8; and (2) the relations between second-order recursive thinking (II-order-RT), advanced-ToM (Adv_ToM) and metacognition. Ninety-one 7- to 8-year-old children were assigned to one of three training conditions:…

Abilities in scientific thinking and reasoning have been emphasized as core areas of initiatives, such as the Next Generation Science Standards or the College Board Standards for College Success in Science, which focus on the skills the future will demand of today's students. Although there is rich literature on studies of how these abilities…

When presented with a problem in mathematics class, students often function as problem performers rather than problem solvers (Rigelman 2007). That is, rather than understanding the problem, students focus on using an operation to complete it. Students' tendencies to act as problem performers can prevent them from suggesting problem-solving…

The use of scientific modeling has been shown to be highly effective in the learning of science content in multiple disciplines for non-English Learners (EL). However, the benefits of using this pedagogy with ELs have not been heavily explored. This article discusses the use of modeling-based evolution and population ecology pedagogical units in a…

Although most early-childhood educators agree on the value of play in child development, they find it increasingly harder to advocate for play given today's pressure for academic achievement. Using the theoretical work of Lev Vygotsky, the authors discuss how make-believe play among children helps them develop skills critical for success in school…