This article describes reflections of two mathematicians and a mathematics teacher educator who collaborated on the development and implementation of courses (probability and statistics connections, number concept connections, and middle school mathematics methods) for middle school mathematics preservice teachers. The instructors of the courses,…

Forming part of a wider research study, the current study investigated prospective middle school mathematics teachers' ways of covariational reasoning on tasks involving simultaneously changing quantities. As the introductory theme of a larger unit on derivative, a model development sequence on covariational reasoning was designed and experimented…

The purpose of the current article is to test and revise the hypothetical learning trajectory designed for teaching quadrilaterals by reporting the classroom mathematical practices emerged in a social learning environment developing preservice middle school mathematics teachers' understanding of quadrilaterals. Ten preservice teachers participated…

An exploratory study was conducted to investigate the use of magic activities in a math course for prospective middle-school math teachers. This research report focuses on a lesson using two versions of math magic: (1) the "5-4-3-2-1-½ Magic" involves having students choose a secret number and apply six arithmetic operations in sequence…

Although it is common for researchers to assess implementation fidelity (IF) within the context of math intervention, IF assessments are often restricted to intervention adherence. Further, the degree to which IF influences observed outcomes is commonly ignored. The current study examined the relationship between three aspects of IF and the math…

These are the appendixes for the report "Effects of an Inquiry-Oriented Curriculum and Professional Development Program on Grade 7 Students' Understanding of Statistics and on Statistics Instruction." This cluster-randomized controlled trial compared the Supporting Teacher Enactment of the Probability and Statistics Standards (STEPSS)…

"University of Chicago School Mathematics Project (UCSMP)" is a core mathematics curriculum that includes materials and a routinized instructional approach with an option for teacher training. The curriculum uses an inquiry-based approach with a focus on active learning where students frequently engage in hands-on activities and…

"University of Chicago School Mathematics Project (UCSMP)" is a core mathematics curriculum that includes materials and a routinized instructional approach with an option for teacher training. The curriculum uses an inquiry-based approach with a focus on active learning where students frequently engage in hands-on activities and…

The purpose of this mixed-methods study was to determine whether middle school math teachers, as members of a community of practice (CoP) engaging in a collaborative inquiry (CI) intervention, could identify and make practical changes to specific classroom-centered factors that may have inadvertently promoted perceptions of performance-focused…

The mathematical ability of Indonesian students is still very low compared to other countries. One alternative to overcome the problem is by creating learning instructional that allows students to learn well. Most of learning instructional developed today do not accommodate the student learning styles especially in schools that have classified…

It is often claimed that technology can be used as a tool that can facilitate teaching and learning and contribute to learners' achievement. This article reports on a study about how KwaZulu-Natal mathematics teachers use, access and integrate technology in the teaching and learning of mathematics. A questionnaire containing closed and Likert…

An individual's learning is determined by cognition, motivation, and social context. Taking these aspects into account, we assessed scaffolding in tutoring situations via contingency to determine how successful and unsuccessful teacher-student interactions are shaped. We aimed to find out how the problem-solving process in successful tutoring…

In this insightful math resource for grades 3-8, popular professional developer Marian Small helps teachers understand and facilitate meaningful assessments to advance student understandings. Small shows new and veteran teachers how to do three fundamental things well: identify the most important math to assess; construct meaningful…

Faculty and Doctoral Students in a Learning Design & Technology program have been researching and studying instructional design models over the last year in light of current changes in learning and design theory. This work is part of a yearlong project related to the following two questions: 1) What are instructional design (ID) models that…

Background/Context: A minority of U.S. eighth graders reach the proficient level on the National Assessment of Educational Progress (U.S. Department of Education, 2021). Early evidence suggests that the pandemic has made things worse, especially so for underserved student populations (Lewis et al., 2021). Math proficiency is central to advanced…