Integer addition and subtraction entail significant conceptual shifts for many students, and teachers often offer rules intended to help mitigate this challenge. When these rules are not connected to sense making, a misremembered rule can function as a barrier to student learning. In this article, the authors highlight the work of an expert…

With the aim of engaging more students in meaningful thinking in mathematics, a cohort of Year 7 students were introduced to a 'Building Thinking Classrooms' framework for learning in mathematics. In this paper, the authors outline the key features of the implemented framework and share reflections on challenges and benefits.

There is a dearth of empirical data to support the positive effects of problem solving (PS) combined with digital technology in the classroom, despite claims that these activities improve students' algebraic thinking abilities. Therefore, the purpose of this study was to evaluate how the teaching method known as Polya's problem solving with…

Students are required to develop essential 21st-century skills, such as critical thinking and biological literacy, to effectively navigate challenges in the globalization era. It is known that the results of PISA 2022 and several studies show that these skills in students are still very low. However, traditional learning models often fail to…

This study investigated the sustainability effects of the schema-based instruction (SBI) program and corresponding PD on the instructional practices of two cohorts of teachers (i.e., SBI experienced-teacher implementers and SBI novice-teacher implementers) and on students' ability to reason with proportions and overall mathematics performance. SBI…

The research objectives were to 1) study the current conditions, problems, and good practices regarding teaching and learning 2) develop a blended instructional model using problem-based learning with graphic organizers to enhance systems thinking skills in computational science for students in lower secondary school and 3) study the results of…

Integral to fostering computational thinking (CT) skills, which are increasingly essential in today's digital era, has been the shift of paper-based pictorial modeling activities to computational modeling. Research has indicated that modeling activities can advance students' understanding of a system's mechanism (i.e., systems thinking), such as…

This study aims to investigate students' computational thinking (CT) through mathematical tasks integrated with programming in Scratch. Participants completed four tasks that required students to solve coding problems, which were focused on prime numbers and the prime factorization algorithm. The study was designed as a case study and the unit of…

The research on the ability to think in systems in education is also minimal, which is why the ability to think in systems in Indonesia has not been optimally trained. Dealing with a system's complexity can be challenging at any age, particularly for students who must apply the system's cognitive capabilities during the learning process. Systems…

A theoretical model describing Grade 7 students' rational number sense was formulated and validated empirically (n = 360), hypothesizing that rational number sense is a general construct consisting of three factors: basic rational number sense, arithmetic sense, and flexibility with rational numbers. Data analysis suggested that rational-number…

Physical manipulatives enhanced knowledge acquisition by engaging learners in hands-on experiences that supported spatial reasoning. These tools allowed learners to see, touch, and manipulate objects, improving their ability to mentally rotate and visualize structures. This study challenged the assumption that most learners are purely visual by…

In this edition of Assessment News, Charles Darr uses a case study from the National Monitoring Study of Student Achievement (NMSSA) to highlight how students can benefit from activating deliberate thinking in assessments. The key message underscores the value of using assessment information to generate insights that inform better teaching and…

In this research, we explore the potential for computational thinking (CT) to benefit the spatial reasoning abilities of thirty-three middle-school students (aged 11-13) in grades 6 and 7. There is an increasing focus on the explicit development of spatial reasoning throughout the mathematics curriculum, such as geometry, as students' success in…

This study aims to analyze and to describe, in terms of information processing theory, the thinking processes of junior high school students as they solved problems involving direct and inverse proportions. This study design is qualitative and exploratory-descriptive in nature. 26 students in the seventh grade of SMP Negeri 1 Kota Ternate were…

The relationship between language and thinking and the effect of these two skills on each other is accepted by field experts, but the level of the relationship is still a matter of debate. In this research, some part of the relationship between language and thought has been dwelled upon. The aim of the research is to determine the 7th grade…