Recognizing, building, describing, extending, and analyzing patterns are key components of algebraic reasoning. Oftentimes pattern-based instruction is used to support the understanding of functions and variables. In this study, elementary preservice teachers (n = 23) were asked to explore, extend, explain, create equations for, and analyze…

Finding opportunities for elementary preservice teachers to engage in mathematics for themselves and to collaborate in their enquiries was the focus of this study, carried out at two English Universities. Preservice teachers on 1-year postgraduate programmes engaged in shared mathematics enquiry, with a focus on growing patterns. We conducted…

At the end of Primary 6, students in Singapore schools take a national examination, the Primary School Leaving Examination (PSLE). Society at large view the PSLE as a highstakes examination. In addition to out-of-class work assigned by mathematics teachers for students to prepare for the PSLE mathematics, parents may also draw on out-ofschool…

Fractions are among the most problematic concepts that children encounter in their primary school years because of the many different conceptions of fractions. Textbook analyses have tried to provide insights into how fractions are introduced, focusing on the different concepts and representations of fractions. In this paper, we contribute to…

In this study, we investigated how secondary students interpret algebraic expressions that contain literal symbols to stand for variables. We hypothesized that the natural number bias (i.e., the tendency to over-rely on knowledge and experiences based on natural numbers) would affect students to think that the literal symbols stand for natural…

This work is a segment of an ongoing doctoral research in Brazil. The Leonardo numbers and the Leonardo sequence have gained attention from mathematicians and the academic community. Despite being a relatively new sequence within mathematical literature, its discussion has intensified over the past five years, giving rise to other branches, with…

In this study the researcher seeks to address the national problem of exorbitant financial commitments to math proficiency that still leaves elementary schools failing to meet with success on state assessments. The researcher examines the scope of teacher preparation within mathematics, both at the pre-service and in-service level which…

This study investigates the influence of Explicit Instruction (EI) on the mathematics achievement of students attending Belmont Middle School (BMS). There is an urgent need for schools to evaluate the instructional strategies they have been adopting to identify whether they have any significant impact on students' mathematics performance. With the…

This exploratory, mixed-method study investigated how strength-based approach to mathematics instruction (SBAMI) influences the academic optimism of general education and special education pre-service teachers (PSTs). Academic optimism, linked to student achievement in previous research, was used as the theoretical framework. Data included…

In an increasingly data-driven society, making decisions with data is a requirement not only for research scientists but also for navigating life more generally (Kjelvik & Schultheis, 2019). An informed citizenry must be prepared to discover patterns, predict outcomes, make decisions with data, and evaluate data-based claims for legitimacy and…

Creativity and collaboration are key components of a mathematician's work, and thus in the preparation of future mathematicians, undergraduate mathematics courses should aim to develop students who can effectively work collaboratively and creatively with one another. Despite this need, research on mathematical creativity has primarily investigated…

Is children's literature only beneficial to children? Or do the benefits of children's literature also extend to the knowledge and mathematical skills of the teachers who employ it and reflect on it? This study seeks to investigate the role of picturebooks on the mathematical knowledge of preschool teacher candidates. For this purpose, in-depth…

Despite growing recognition of the value of using technology in mathematics instruction and learning, preservice teachers consistently performed abysmally in college geometry. This study therefore examined the attitude of preservice teachers towards the integration of technology in the teaching and learning of College Geometry. Quantitative…

In recent years, an increasing number of studies have examined the association between mathematical abilities and executive functions (EFs). However, it remains unknown via which mechanisms' mathematical performance is associated with EFs. The current study examined the associations of overall task proficiency, strategy selection, and strategy…

The home math environment is vital for early math development. Yet, there is limited understanding of how parents translated their attitudes towards helping children learn math (HCLM) into actions to influence their young children's math-related outcomes. Thus, the present study examined whether parents' perceived competence, value, and pressure…