For over a decade, Which One Doesn't Belong? (WODB; Danielson, 2016) has been a beloved classroom routine that invites students to engage in mathematical decision-making and justification. In the WODB routine, four related figures are shown to students, and they are asked to decide which of them doesn't belong with the other three. The beauty of…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Almost all educational systems still rely on traditional teaching methods: children must absorb huge uncorrelated amounts of information from various disciplines, multidisciplinary aspects are not developed, the fun factor is missing in most of the classes. Many children sometimes do not fully understand the presented theoretical concepts and…

The purpose of this study is to develop and validate an authentic contextual learning framework with six constructs to model the relationships among essential factors of authentic contextual learning. In particular, this framework explores the relationships across six constructs, i.e. learning by applying, healthy learning, collaborative learning,…

Asian schools have consistently demonstrated higher academic achievement in mathematics compared to Western countries, largely due to cultural factors and the intensity of their educational systems. However, this success often comes with increased stress levels, which contribute to math anxiety (MA) among students. Research in cognitive psychology…

Teacher expectations and judgments about student capabilities are predictive of student achievement, yet such judgments may be influenced by salient dimensions of student identity and invite biases. Moreover, ambitious math teaching may also invite teacher biases due to the emphasis on student-generated inputs and ideas. In this pre-registered…

Positioning students as competent is a teaching practice that uses specific, explicit affirmations to note that students have contributed something meaningful to the community of learners. It supports student agency in the mathematics classroom and contributes to the development of a positive mathematics identity. In this article, the authors…

The article reports an empirical study on the introduction of elementary probabilistic concepts in school, focusing on tasks related to the psychological tradition of heuristics and biases. The concepts involved were studied using an extensional natural frequencies approach. We describe the school intervention conducted in an interaction across…

This paper examines the impact of increasing teacher salaries on student outcomes by exploiting variation from the "50K The First Day" campaign that established a $50K salary floor for new teachers across New Jersey school districts. Using school-level data from 2003 to 2019, we employ a staggered difference-in-differences (DiD) approach…

The aim of this study is to examine possible sources of negative math attitudes as well as some possible effects. The main body of this dissertation are three stand-alone chapters that are designed to be stand-along academic article. Chapter 2 uses data from the High School Longitudinal Study (HSLS) and lagged-dependent variable and school fixed…

In this article, the authors present a brief description of the different views of the "nature of mathematics" (NOM), share a five-point view of NOM that undergirds the teaching profession's guiding documents, and describe ways of providing opportunities for teachers and students to have conversations in the classroom that build…

"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…

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…

"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…