The book presents comparative analyses of five elementary mathematics curriculum programs used in the U.S. from three different perspectives: the mathematical emphasis, the pedagogical approaches, and how authors communicate with teachers. These perspectives comprise a framework for examining what curriculum materials are comprised of, what is…

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

In regression analysis courses, there are many settings in which the response variable under study is continuous, strictly positive, and right skew. This type of response variable does not adhere to the normality assumptions underlying the traditional linear regression model, and accordingly may be analyzed using a generalized linear model…

We share the impact different models have on students' fraction thinking. We have come to understand, through several teaching experiments, how fraction circles, paper folding and number lines support students' learning about key fraction ideas including the role of the unit, partitioning, and fraction order.

The Three Little Pigs launched a lesson in which kindergarten students were challenged with designing a house out of materials such as marshmallows and toothpicks that could withstand the Big Bad Wolf. Students engaged in the engineering design process and geometry standards while building and testing their models.

The purpose of this paper is to consider analogues of the twin-prime conjecture in various classes within modular rings.

This article features a vignette that illustrates how one teacher constructed an equitable classroom space. The author believes such spaces are important because all beginning teachers teach diverse students that may differ culturally, racially, socioeconomically, linguistically, and in academic and life experiences. These spaces support teachers…

The purpose of this study was to examine the effects of an online multi-component intervention (video modeling, virtual manipulatives, digital games, self-monitoring and least to most prompting techniques) on the acquisition of several mathematical skills of two autistic elementary school students. We used a multiple probe design of a single-case…

Beginning teachers are challenged to make concrete the identities they envision for themselves in their practice. We examine how a particular context, the noticing interview, supported a novice teacher's identity work through disciplined awareness to cultivate the inner witness. In a noticing interview, teachers view and discuss video segments…

We present a model for roleplaying (RP) for university students that is aimed at fostering the interactions of each learner with the teacher and coursemates, self- and peer-assessment, as well as an awareness and meaningful learning of mathematics. Specific features of our model are its focus on metacognition and individualized learning, based on…

As K-12 schools in the United States continue to experience increases in enrollment of English learners (ELs), educators and researchers seek to identify effective teaching practices. Previous research in the area of teacher effectiveness with ELs has focused mainly on pre-service and elementary-level teachers, with studies of coursework and…

This article aims to analyze the process of the progressive mathematization of the concept of the function by secondary school students through the resolution of a free fall situation. A free-fall mathematical situation was designed and experimented using the Tracker software to obtain movement data. Worksheets and conversations were collected…

The performance of pre-service teachers (PSTs) is generally assessed during practicum by supervising teachers or observers who may provide subjectively different evaluations known to lack reliability and validity. This article examines a way to shift the evaluative emphasis to use of affective-reflective skills through use of a protocol that also…

This systematic review examines 31 articles published from 2000 to 2021, comprehensively addressing mathematical resilience. These articles originate from English-language journals indexed in Google Scholar, Web of Science, ERIC, and Scopus databases. The analysis considered specific aspects including years, countries, research methods, designs,…

The exploratory study combined an online survey and interviews with Australian primary and secondary mathematics teachers to examine their views on "Active, Bodily experience Mathematics learning activities." The research sought to identify teachers' expectations, challenges, and limitation for their implementation. Initial results…