Sketching three different approaches to mathematics education, I choose for a pluralistic view, called multimathemacy. The focus is on cultural diversity and particular and local skills and insights in the out-of-school knowledge of the children. "Trivial mathematics" as Hardy called it can be used as a bridge between these skills and…

Complex Problem Solving (CPS) can be defined as those psychological processes that enable a person to achieve goals under complex conditions, which are characterized by their complexity, connectivity, dynamics, lack of transparency, and polytely. Although many hypothesized influences have previously been tested concerning their relevance for the…

Reasoning ability is the 'problem solving skills' or 'analytical ability' or 'deductive and inductive reasoning'. Academic achievement is the total score one achieved at school, college, or university from class, laboratory, library, or field work. The objectives of the study were to explore the relationship between reasoning ability and academic…

This mixed-methods study analyzed adolescents' evaluation of the trustworthiness of different kinds of evidence and their reasons for why they trusted (or did not trust) them. Specifically, we analyzed adolescents' rankings of seven kinds of evidence in the abstract and in the context of a settled historical event (school desegregation) and…

A critical component of scientific reasoning is the consideration of alternative explanations. Recognizing that decades of cognitive psychology research have demonstrated that relative cognitive accessibility, or "what comes to mind," strongly affects how people reason in a given context, we articulate a simple "cognitive…

Simulation and modeling activities, a key point of computational thinking, are currently not being integrated into the science classroom. This paper describes a new visual programming tool entitled the Simulation Creation Toolkit. The Simulation Creation Toolkit is a high level pattern-based phenomenological approach to bringing rapid simulation…

Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

Making sense of mathematical concepts and solving mathematical problems may demand different forms of reasoning. These could be either domain-based, such as algebraic, geometric or statistical reasoning, while others are more general such as inductive/deductive reasoning. This article aims at giving visibility to a particular form of reasoning…

This study examines progression trends of Chinese students' scientific reasoning skills across grade levels from elementary school to university. A large-scale survey using the Classroom Test of Scientific Reasoning (CTSR) was conducted with 2669 Chinese students at 13 grade levels (grades 4-16). The construct validity of the CTSR was first…

In this study, I use a systemic functional linguistics approach to examine mathematics classroom discourse with the aim of providing a plausible explanation of how students could actively participate in productive classroom discussions without adopting ways of reasoning that were accepted in the classroom community. In this way, I work in the…

The purpose of this paper is to explore and explain students' achievements in solving context-based gas exercises comprising the macroscopic and submicroscopic levels of chemical concepts. The influence of specific variables, such as interest in learning, formal-reasoning abilities, and visualisation abilities, is a significant factor that should…

In the context of joint decision-making, we investigated whether preschoolers alter the informativeness of their justifications depending on the common ground that they share with their partner. Pairs of 3- and 5-year-olds (N = 146) were introduced to a novel animal with unique characteristics (e.g., eating rocks). In the common ground condition,…

The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…

Immigrants bring a wide variety of skills that favor the market productivity and add to the economic life of the country. They contribute to the development of the U.S. economy through the skills they bring to the market (cognitive skills such as abstract thinking, non-cognitive skills such as motivation and initiative, and specific skills such as…

Difficulties in learning statistics primarily at the college-level led to a reform movement in statistics education in the early 1990s. Although much work has been done, effective learning designs that facilitate active learning, conceptual understanding of statistics, and the use of real-data in the classroom are needed. Guided by Merrill's First…