Measurement activities were designed in this study on the basis of authentic professional practices in which linear regression is used, to study considerations of variability by students in Grade 12 (aged 17-18). The question addressed in this article is: In what ways do secondary students consider variability within these measurement activities?…

Increasingly, research on cognition, learning, and education seeks to understand the cognitive processes underlying conceptual understanding. This is especially true for efforts to understand how students learn science. The present case summarizes work that examines 6- to 10-year-old students engage in scientific reasoning to learn new scientific…

According to Lev S. Vygotsky (1896-1934), the highest levels of abstract thinking and self-regulation in preschool development are established in "pretend play using object substitutions." An extensive research literature supports Vygotsky's empirical model of the internalization of self-guiding speech (social speech > private speech…

When proportional information is pit against whole number numerical information, children often attend to the whole number information at the expense of proportional information (e.g., indicating 4/9 is greater than 3/5 because 4 > 3). In the current study, we presented younger (3- to 4-year-olds) and older (5- to 6-year-olds) children a task…

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…

This research tests whether analogical learning is present before language comprehension. Three-month-old infants were habituated to a series of analogous pairs, instantiating either the "same" relation (e.g., AA, BB, etc.) or the "different" relation (e.g., AB, CD, etc.), and then tested with further exemplars of the…

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…

Growing human populations place increasing demands on our planet, resulting in an array of challenges with both scientific and non-scientific dimensions. These challenges are collectively known as socio-scientific issues (SSIs). It is essential to understand how students learn to use values to reason about SSIs, particularly when dealing with…

Two key research issues in the field of causal learning are how people acquire causal knowledge when observing data that are presented sequentially, and the level of abstraction at which learning takes place. Does sequential causal learning solely involve the acquisition of specific cause-effect links, or do learners also acquire knowledge about…

The initial assumption of this article is that there is an overemphasis on abstraction-from-actions theoretical approaches in research on knowing and learning mathematics. This article uses a critical reflection on research on students' ways of constructing mathematical concepts to distinguish between abstraction-from-actions theoretical…

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:…

The papers in this issue describe recent collaborative research into the role of inhibition of intuitive thinking in mathematics education. This commentary reflects on this research from a mathematics education perspective and draws attention to some of the challenges that arise in collaboration between research fields with different cultures,…

We offer a new approach to emergent knowledge in processes of conceptual change in dyadic interaction by drawing on Pickering's ("The Mangle of Practice," The University of Chicago Press, London, 1995) Mangle of Practice theory, which theorizes the emergence of new scientific knowledge as occurring due to material resistance and human…

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…