The importance of mathematical reasoning is unquestioned and providing opportunities for students to become involved in mathematical reasoning is paramount. The open-ended tasks presented incorporate mathematical content explored through the contexts of problem solving and reasoning. This article presents a number of simple tasks that may be…

The purpose of this study was to introduce a rubric named "Rubric for the Assessment of Modeling Skills" for assessing cognitive modeling skills and explaining the rubric's development process. The dimensions of the rubric are understanding the problem, simplifying, mathematizing, working mathematically, interpreting and validating.…

This study investigated students' modeling progress and strategies in a problem-solving simulation game through content analysis, and through supervised and unsupervised lag sequential analysis (LSA). Multiple data sources, including self-report models and activity logs, were collected from 25 senior high school students. The results of the…

This study aims to establish a model proposal for solving problems in the use of performance tasks at the high school level. The study which adopted qualitative research method was planned in two stages. First, the problems faced by high school teachers (n = 40) using performance tasks were determined, and for the second stage the opinions of…

This dissertation reports the research methodology and findings of three studies focused on mathematical modeling as a structured problem-solving process where the student translates relevant details from a situation, event, or phenomena in daily life into mathematical language with mathematically-defined structures and operations, which form the…

Current teacher preparation programs have received scrutiny for failing to sufficiently support teachers in valuing and developing their knowledge of data literacy. The current study explores a collaborative approach to increasing pre-service teachers' experiences with data literacy by including under-utilized data experts: school psychologists.…

More and more jobs involve STEM, yet women are still underrepresented in many STEM fields, particularly engineering and computer science (National Science Foundation, 2019). Rural students in particular have historically faced numerous obstacles to entering STEM fields, including low educational aspirations, lack of STEM role models, and lack of…

In this paper we address the question, how do quantitative reasoning and covariational reasoning present as students build structural conceptions of real-world situations. We use data from an exploratory teaching experiment with an undergraduate STEM major to illustrate the explanatory roles quantitative reasoning and covariational reasoning play…

The newborn MTI (Master of Translation and Interpreting) program in China is a new platform that induces abundant opportunities for translator training, meanwhile poses methodological and professional challenges. Thus, an interactive teaching and learning model is proposed. This study is devoted to finding out whether the interactive model…

This study aims to produce a learning trajectory using the mathematical modeling in helping students to understand the concept of algebraic operations. Therefore, the design research was chosen to meet the research aims and to give in formulating and developing local instructional theory in learning algebraic operations. Learning trajectory…

Many noncognitive constructs affect mathematical problem-solving performance. The aim of the present study is to investigate the direct and indirect effects of a number noncognitive constructs such as mathematics self-efficacy, mathematics anxiety, and metacognitive experience on the mathematical problem solving of middle-school students. The…

Metacognition is a powerful predictor for learning performance, and for problem-solving. But how metacognition works for cognitive strategies and learning performance is not clear. The present study was designed to explore how metacognition affected the cognition (learning strategies and problem solving strategies) and different kinds of learning…

The purpose of this essay is to illustrate the value of applying the lessons of successful historical battlefield commanders to teach leadership concepts and theories. This article uses the experience of Napoleon Bonaparte's "Grande Armee" at the Battle of Austerlitz to illustrate these concepts. Utilizing Napoleon's success in this…

There has been a growing interest in the study of writing from the perspective of its potential contribution to language development. However, scant attention has been paid to key methodological considerations regarding the analysis of the connection between L2 writing processes, reflection on language while writing, and language learning. In an…

Environmental education for all students is becoming more urgent as societies strive to deal with challenges such as climate change and loss of biodiversity. Teachers have an important role to play in defining the environmental knowledge, beliefs, and actions of the next generation. Understanding the anthropogenic inputs responsible for alteration…