Research on puppets in Intermediate Phase mathematics is in its infancy. According to Vygotsky, play affords a playful element that can optimise learning opportunities. However, many mathematics teachers are unfamiliar with the integration of pedagogy of play (PoP) (in this case, puppetry). The aim of this paper is to report on one participant's…

The purpose of this quantitative study was to gather information from elementary teachers who use best practices to examine the impact of self-efficacy and mindset. Data was gathered from elementary teachers who use best practices in mathematics instruction. This research examined if location type (rural, suburban, urban), years of experience…

A Title I elementary school in New York City faced a challenge in supporting students in Grade 3 to Grade 5 who did not meet state proficiency standards in mathematics. The student body of approximately 300 was 80% Black and Brown students, with 40% of students identified as English language learners or students with disabilities. The assistant…

Two developments in teacher expectation research formed the basis for the current study. First, researchers have begun investigating the self-fulfilling prophecy effects of teacher expectations on a variety of psycho-social outcomes in addition to the effects on academic achievement. Second, researchers have started to realize that some groups of…

The benefit of homework (HW) has been the subject of ongoing debate among various stakeholders. Within this debate, and in relation to teacher development, prospective teachers' views of HW have received limited attention. In this study, we survey primary pre-service teachers' ('PSTs') views of HW use (n = 45 teaching grades 2-5; n = 39 teaching…

The concept of fractions is perceived as one of the most difficult areas in school mathematics to learn and teach. The most frequently mentioned factors contributing to the complexity is fractions having five interrelated constructs: part-whole, ratio, operator, quotient, and measure. In this study, we used this framework to investigate the…

In many Western countries, there has been an emphasis on ways in which to support teachers to shift practice from traditional mathematics instruction to inquiry-based classrooms. As a form of professional learning and development, lesson study offers the potential for teachers to develop their ability to respond to students' thinking through…

This article focuses on cluster teachers' differentiation of their classroom instructional practices within an urban setting. Data were gathered from classroom observations of the learning task, questioning, and the classroom environment; ratings of observations using the "Classroom Instructional Practices Scale;" and interviews with…

The relationship between mathematical creativity (MC) and mathematical problem-solving performance (MP) has often been studied but the causal relation between these two constructs has yet to be clearly reported. The main purpose of this study was to define the causal relationship between MC and MP. Data from a representative sample of 480…

The Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) highlight the mathematical habits that educators should be fostering in mathematics classrooms throughout K-grade 12 education. That argumentation and discourse are important components of developing mathematically proficient…

The math achievement of students is low in a small rural district in Colorado. The purpose of this study was to explore the efficacy of a summer third through fifth grade math program in improving math scores. Piaget's theory of cognitive development was used as the theoretical foundation for the math instructional resource delivered to the…

Most learning environments in the STEM disciplines use multiple graphical representations along with textual descriptions and symbolic representations. Multiple graphical representations are powerful learning tools because they can emphasize complementary aspects of complex learning contents. However, to benefit from multiple graphical…

Like algebra at any level, early algebra is a way to explore, analyze, represent, and generalize mathematical ideas and relationships. This book shows that children can and do engage in generalizing about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential…

This study of fourth-grade students and teachers explores mathematics teaching and learning that focuses on discovering and modeling algebraic relationships. The study has two parts: an investigation of how students learn to construct algebraic statements and models for comparisons and measurement situations in the multiplicative domain, and an…

The maturation of multiplicative thinking is key to student progress in middle school as rational number, ratio, and proportion concepts are encountered. But many students arrive from the intermediate grades and falter in developing this essential disposition. Elementary students have historically learned multiplication and division as operation…