We study the experts' practices developed with the support of digital technologies (DT), when they take aware in-the-moment decisions during classroom discussions to promote the development of effective formative assessment (FA) processes. In this investigation, we complement a macro-analysis of paradigmatic examples of classroom activities,…

Employing a statistical modeling inspired pedagogy is becoming a widespread practice in the statistics education community. Many have incorporated the practice of formulating conjectures in their modeling-enhanced educational designs and have reported on its benefits. We further elucidate the mechanism through which students' conjecturing may be…

Self-regulated learning (SRL) is a critical component of mathematics problem solving. Students skilled in SRL are more likely to effectively set goals, search for information, and direct their attention and cognitive process so that they align their efforts with their objectives. An influential framework for SRL, the SMART model, proposes that…

The National Council of Teachers of Mathematics (NCTM) has been emphasizing the importance of teachers' pedagogical communication as part of mathematical teaching and learning for decades. Specifically, NCTM has provided guidance on how teachers can foster mathematical communication that positively impacts student learning. A teacher may have…

Background: Nowadays, the attention to integrate Science, Technology, Engineering and Mathematics (STEM) education to the existing curriculum is widely increasing around the world. In the early childhood education settings, many researchers have discussed the importance of early introduction to STEM education for children. However, the initiatives…

As lesson study becomes more prevalent, there is a need to continuously develop theoretical and methodological infrastructure to support and refine its use. In this article, we present a critical methodological analysis of the challenges and benefits of using Toulmin's argumentation model in mathematics education to assess the debriefing phase of…

Latent variable models, such as the popular Knowledge Tracing method, are often used to enable adaptive tutoring systems to personalize education. However, finding optimal model parameters is usually a difficult non-convex optimization problem when considering latent variable models. Prior work has reported that latent variable models obtained…

While it is well recognized that students are prone to difficulties when performing linguistic-to-algebra translations, the nature of students' difficulties remain an issue of contention. Moreover, the literature indicates that these difficulties are not easily remediated by domain-specific instruction. Some have opined that this is the case…

This paper discusses different conceptual frameworks for measuring mathematics pedagogical content knowledge (MPCK) in international comparison studies. Two large-scale international comparative studies, "Mathematics Teaching in the Twenty-First Century" (MT21; Schmidt et al., 2011) and the "Teacher Education and Development Study…

This dissertation examines the relationship between an instructional style called Interactive-Engagement (IE) and gains on a measure of conceptual knowledge called the Calculus Concept Inventory (CCI). The data comes from two semesters of introductory calculus courses (Fall 2010 and Spring 2011), consisting of a total of 482 students from the…

Math coaches play a vital role in strengthening math instruction and learning in schools. However, without a collegial relationship with the teachers they are trying to help, it is difficult to foster productive collaborations that lead to better teaching practice and increased student achievement. This resource helps coaches confidently clarify,…

This guide is intended to help vocational and mathematics teachers design and implement integrated mathematics-vocational education courses. The guide is organized in six sections. Following two sections containing information about the project in which the guide was developed and how to use the guide, Section III provides guidelines for…

This set of five reports and one manual is a product of the Mathemagenic Activities Program (MAP) for early childhood education of the University of Georgia Follow Through Program. Based on Piagetian theory, the MAP provides sequentially structured sets of curriculum materials and processes that are designed to continually challenge children in…

An innovative instructional intervention model is presented that represents a promising approach to the education of language minority students. One of the four handbooks produced to document and disseminate the findings of the Innovative Approaches Research Project (IARP), this handbook describes the IARP model for providing science and…

This monograph describes a suggested approach to career education for handicapped students that focuses on two aspects of the career development process, career exploration and development of an academic program reflecting vocational needs. Discussed in the section on career exploration are career goals, the teacher-counselor role, individual…