In this study, differential prediction of student outcomes by race and teacher traits relative to the certification levels of novice teachers was assessed. Overall, algebra achievement was higher for students who were taught by teachers with standard certificates relative to students who were taught by novice teachers with nonstandard…

The issue that this study addressed is the evaluation of the impact of Imagine Math© upon the closure of learning gaps of English Learners and students of diverse racial backgrounds in mathematics and Algebra. Specifically, the intent of the research was to determine the impact of the adaptive learning program, Imagine Math©, upon student…

Although findings from cognitive science have suggested learning benefits of confronting errors (Metcalfe, 2017), they are not often capitalized on in many mathematics classrooms (Tulis, 2013). The current study assessed the effects of examples focused on either common mathematical misconceptions and errors or correct concepts and procedures on…

Central in the frameworks that describe algebra from K-12 is the idea that algebraic thinking is not a single construct, but consists of several algebraic thinking strands. Validation studies exploring this idea are relatively scarce. This study used structural equation modeling techniques to analyze data of middle school students' performance on…

When designing an instructional tool and using it in pedagogical activities, it is essential that designers and users understand what pedagogical affordances and constraints the tool provides to support its successful integration into targeted pedagogical activities. Toward this end, we developed "Pedagogical Affordance Analysis (PAA)."…

Representing repeating nonterminating decimals as rational numbers is a topic introduced in the seventh-grade Common Core State Standards for Mathematics. According to Content Standard 7.NS.2.D., students should be able to represent a rational number as a decimal and understand that the decimal will either end in zeros or eventually repeat (NGO…

Dual-credit courses expose high school students to college-level content and provide the opportunity to earn college credits, in part to smooth the transition to college. With the Tennessee Department of Education, we conduct the first randomized controlled trial of the effects of dual-credit math coursework on a range of high school and college…

As K-12 mathematics standards shift toward emphasizing both conceptual and procedural knowledge in secondary courses such as algebra and geometry, the struggles for students with disabilities become more pronounced. To address these challenges, research has commonly explored the use of technology to aid in the teaching of students with…

The teaching of mathematics does not only require the teacher to have knowledge about the subject, but the teacher also needs mathematical knowledge that is useful for the teaching and explaining thereof, as the teacher's knowledge effects the students' knowledge. A teacher should use appropriate mathematical explanation to be understood well by…

The effect of metacognitive scaffolding for learning by teaching was investigated and compared against learning by being tutored. Three versions of an online learning environment for learning algebra equations were created: (1) APLUS that allows students to interactively teach a synthetic peer with a goal to have the synthetic peer pass the quiz…

Thomas Kuhn (1962/2012) introduced the term "paradigm shift" to the scientific literature to describe how knowledge in science develops. The aims of this article are to identify paradigm shifts, or revolutions, that have occurred in mathematics, and to discuss their relevance to teaching mathematics in schools. The authors argue that…

An introduction to the Quantum Chemistry Package (QCP), implemented in the computer algebra system Maple, is presented. The QCP combines sophisticated electronic structure methods and Maple's easy-to-use graphical interface to enable computation and visualization of the electronic energies and properties of molecules. Here we describe how the QCP…

This study was aimed to validate a digital tool for diagnosing mathematical proficiency in the Number and Algebra strand of 1,504 Thai seventh-grade students. Researchers employed a multidimensional approach, an extension of the Rasch model to measure its quality. A design-based research method was adopted to create the diagnostic tool which…

This report examines the implementation of the Securing Opportunities for Academic Recovery (SOAR) program that operated during the summer of 2020 at 31 schools. The program was designed to mitigate academic deficits that resulted from the shutdown of schools due to the Coronavirus pandemic. SOAR was implemented in two phases: Recovery and Regain.…

The need and desire to understand and adopt formative assessment practices remain high on the agenda at all levels of educational systems around the world. To advance teachers' use of formative assessment, research attention also needs to be paid to (a) understanding the challenges teachers face when asked to utilize formative assessment practices…