Investigating symmetric dot patterns provides opportunities for foundational mathematical learning that is not restricted to multiplication alone. Students have opportunities to learn about the properties of symmetry, about the generalization of patterns, about writing and interpreting equations--all areas of study in grades 3-5. And symmetric dot…

Findings from experimental studies have increasingly been used to inform policy in school settings. Thus far, the populations in many of these studies are typically defined in a cross-sectional context; namely, the populations are defined in the same academic year in which the study took place or the population is defined at a fixed time point.…

Building conceptual knowledge that generalizes to novel situations is a key function of human memory. Category-learning paradigms have long been used to understand the mechanisms of knowledge generalization. In the present study, we tested the conditions that promote formation of new concepts. Participants underwent 1 of 6 training conditions that…

Questionnaire design is routinely guided by classic experiments on question form, wording, and context conducted decades ago. This article explores whether two question order effects (one due to the norm of evenhandedness and the other due to subtraction or perceptual contrast) appear in surveys of probability samples in the United States and 11…

The mand is a type of verbal operant whose response form is under control of a motivating operation (MO). It is the first verbal operant to be acquired, directly benefits the speaker, leads to the development of other behaviors, and may serve to replace problem behavior. Even though the topography of the mand is under the functional control of an…

In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…

Applying a measurement instrument developed in a specific country to other countries raise a critical and important question of interest in especially cross-cultural studies. Confirmatory factor analysis (CFA) is the most preferred and used method to examine the cross-cultural applicability of measurement tools. Although CFA is a sophisticated…

Recent research has shown that knowledge of second language (L2) collocations is important to learners for improving their language processing and production but also that acquiring L2-specific collocations is a very burdensome task for learners. Thus, bootstrapping knowledge of L2 collocations through generalization is highly desirable, but this…

This paper presents the design and initial learning research with the MMM modeling platform, seeking to advance middle school students' learning through constructing computational models of complex physical and chemical systems. A complexity-based structure of an MMM interface is introduced. It suggests that a complex system can be described and…

Generalizing patterns is an important feature of algebraic reasoning that is accessible to students across grade-levels because it connects their numerical reasoning to algebraic reasoning. In this article, the authors describe how teachers can use the game Crack the Code to introduce generalizing to their students or can extend students'…

A teaching practice consistent with the development of students' mathematical reasoning requires teachers to hold a profound understanding of mathematical reasoning. The aim of this research is to study the development of middle and secondary mathematics teachers' understanding about the processes of generalizing and justifying in a professional…

Conceptual model-based problem solving (COMPS) was tested for its efficacy in teaching a student diagnosed with autism spectrum disorder to solve word problems involving multiplication and division. A single-case, multiple-baseline across behaviors design was conducted. The ability to solve each of three types of multiplication problems examined…

Secondary school students are the members of gen Z, while their teachers mostly belong to gen X. Due to multitasking in virtual space, dotcom kids' attention, work memory, and brain activity are changing. Their vision of the future, attitude, and priorities are entirely different from those of earlier generations. The children of gen Z question…

A multiple probe across participants design was used to examine the effects of intervention on reality-based fictional narratives. Four boys with autism spectrum disorder (ASD) and language disorder, aged 9-10, participated in a 1:1 intervention targeting the narrative macrostructure elements of character, setting, problem, feelings, and fix.…

Studies of cost and value can inform educational decision making, yet our understanding of the barriers to such research is incomplete. To address this gap, our aim was to explore the attitudes of global thought leaders in HPE towards cost and value research. This was a qualitative virtual interview study underpinned by social constructionism. In…