Spanish educational curriculum adopts a mathematical process-based approach, which encompasses problem solving, reasoning and proof, communication, connections and representation. A fundamental role in the integration of these processes in mathematics teaching is played by teachers' professional practice of designing tasks. According to this, our…

This study contributes to Action, Process, Object, Schema (APOS) theory research by showing two approaches used by advanced mathematics students to construct relations between higher-order derivatives to solve complex problems. We show evidence of students' ability to perform Actions on their graphing derivative Schema, that is, of its…

The multiplication principle (MP) is foundational for combinatorial problem-solving. From a units-coordination perspective, applying the MP with justification entails establishing unit relationships between the number of options at each independent stage of a counting process and the total number of combinatorial outcomes. Existing research…

In tracing recent research trends and directions in mathematical problem-solving, it is argued that advances in mathematics practices occur and take place around two intertwined activities, mathematics problem formulation and ways to approach and solve those problems. In this context, a problematizing principle emerges as central activity to…

Equations are often used in mathematics and other subjects, which means that a media can teach students how to solve equations, particularly linear equations of two variables, or "Sistem Persamaan Linear Dua Variabel" (SPLDV) as it is called in Indonesian, is needed. However, most teachers are still focused on developing the learning…

Increasing the performance of secondary students with learning disabilities (LD) in mathematics on word problem-solving tasks involving ratios and proportions is challenging for secondary math teachers. Teachers must use evidence-based practices to enhance secondary students' problem-solving proficiency and math achievement. Schema-based…

Teaching through problem-solving (TTP) is an approach that helps develop learners', critical thinking, creative thinking, communication collaborative, and computational (5Cs) skills. This approach provides an opportunity for the teachers to maximise metacognition resulting in quality of instruction. This research study aims to determine the…

One of the aims of the present study was to reveal and compare the performance of ChatGPT versions (GPT-4o, GPT-4, and GPT-3.5), MathGPT, and Gemini in solving 390 mathematical problems in interactive mathematics e-textbooks across various dimensions. The other aim was to identify the affordances and constraints of ChatGPT through the instrumental…

This research, conducted between 2020 and 2024 in Romania, investigates the challenges and strategies related to teaching and solving mathematical word problems, based on insights from 163 teachers of grades 0 to 8. The study found that students often experience anxiety when solving word problems, especially during exams, due to difficulties with…

This study investigated the relationship between primary school students' mathematics motivation and problem-solving skills in mathematics. A total of 429 students were selected through convenience sampling, using a relational survey model. Data were collected using the Mathematics Problem-solving Achievement Test and the Mathematics Course…

This study investigated the extent to which domain-general and domain-specific antecedents contributed to pre-algebra's initial level and growth rate among students who experience word-problem difficulty (WPD). We examined if such a profile differs for English-language learners (ELLs; n = 75) and non-ELLs (n = 55) with WPD. We assessed 130 U.S.…

The notion of function is central in all of the secondary curriculum, and indeed functional models appear in almost all higher education that is based on mathematics. However, in secondary education, functions usually appear in restricted and somewhat sterile forms. In this (mostly theoretical) paper, we present a proposal -- exemplified by a…

The main purpose of this research is to examine the informal strategies of fifth and sixth grade students while solving inverse proportional word problems. Multiple case study was used in this study. The research was carried out in a public middle school from a southern city of Türkiye. The participants of the research consist of three fifth and…

This qualitative exploratory case study focused on a Professional Development (PD) program for mathematics teachers in the public system, which is an underserved community of teachers in Chile. The study aimed to understand how the program addressed the challenges brought by the pandemic. Using semi-structured interviews and drawing from a…

This qualitative review aims to describe the current status of problem-based learning (PBL) implementation in mathematics and identify research gaps in the area of investigation. Literature was searched using the ERIC and Google Scholar search engines. The inclusion/exclusion criteria included: articles published in reputable journals in English…