Many scientists routinely generalize from study samples to larger populations. It is commonly assumed that this cognitive process of scientific induction is a voluntary inference in which researchers assess the generalizability of their data and then draw conclusions accordingly. We challenge this view and argue for a novel account. The account…

The current study investigates the effects of a fact family fluency intervention on math facts fluency and quantitative reasoning. Sixty-three students in Grades 5-8 participated in the study, including 14 students receiving special education services and 15 students receiving additional support. The researchers employed a quasi-experimental,…

In this paper, we elaborate the "seeds of algebraic thinking" perspective, drawing upon Knowledge in Pieces as a heuristic epistemological framework. We argue that students' pre-instructional experiences in early childhood lay the foundation for algebraic thinking and are a largely untapped resource in developing students' algebraic…

Complex problem solving (CPS) is considered to be one of the most important skills for successful learning. In an effort to explore the nature of CPS, this study aims to investigate the role of inductive reasoning (IR) and combinatorial reasoning (CR) in the problem-solving process of students using statistically distinguishable exploration…

This paper builds on our previous research and investigates how students' fractional competence and reasoning can provide clear evidence of non-symbolic algebraic thinking and its progressive transition towards fully generalised algebraic thinking. In a large-scale study, 470 primary students completed a written paper and pencil test. This…

The use of analogies is a well-known teaching strategy to bridge unfamiliar and familiar concepts. However, analogies may become ineffective if the familiar concept is not familiar anymore. For example, this may occur when we describe rotational sense as clockwise and counterclockwise, assuming students know how to read a clock with hour and…

In this paper, we develop a personal synthesis of the most outstanding research on the teaching and learning of probability in the past years. We conducted a systematic search to examine publications on this topic in mathematics education, statistics education, education, and psychology journals. This exploration was complemented by additional…

"Lollipop Logic" employs visual and pictorial clues to introduce and reinforce high-powered thinking for pre-readers. Seven different thinking skills--sequences, relationships, analogies, deduction, pattern decoding, inference, and critical analysis--are presented in a format designed to appeal to gifted young learners. This…

Children in out-of-home care persistently show poorer educational and developmental outcomes than their peers. This study investigates the effect of the comprehensive educational intervention, "LUKoP," in a randomized controlled trial, compared to treatment-as-usual (TAU). Outcome measures included reading and math abilities, IQ and…

This study investigates the analogies used by a sample of secondary mathematics teachers when they described the concept of function. The study is concerned with understanding what analogies were used by the participant teachers and conceptions of functions positioned in those analogies. Using examples from a set of responses to five open-ended…

This study investigates the application of the fuzzy logic method for scoring open-ended items, specifically comparing its effectiveness against traditional scoring methods. Utilizing the fuzzy TOPSIS method within the mathematics domain, this research established seven criteria for evaluating open-ended responses, developed in consultation with…

Research suggests that students hold misconceptions about the immune system, but little is known about how they reason about the mechanisms by which the immune system operates. This study investigated how students reasoned about the immune system in Beirut, Lebanon. The study used a qualitative approach and investigated 16 Grade 12 participants…

Future students are confronted with a complex world that demands the ability to solve problems in unstructured, undefined, and unfamiliar situations. The aim of the present study was to investigate the development of problem-solving skills through the implementation of Problem-Based Learning (PBL). While previous research has primarily focused on…

In this study, we investigated participants' reactions to supportive and anomalous data in the context of population dynamics. Based on previous findings on conceptions about ecosystems and responses to anomalous data, we assumed a tendency to confirm the initial prediction after dealing with contradicting data. Our aim was to integrate a…

The purpose of this paper is to propose a new ontology of reasons for inferentialism. The existing inferentialist approach to mathematics education has a methodological challenge in retrospective analysis and a noncollaborative issue stems from a narrow view of learning. The proposed ontology, built on a radical interpretation of the…