This article presents four inquiry-based learning activities developed for a liberal arts math course. The activities cover four topics: the Pythagorean theorem, interest theory, optimization, and the Monty Hall problem. Each activity consists of a dialogue, with a theme and characters related to the topic, and a manipulative, that allow students…

A typical mathematics assignment consists primarily of practice problems requiring the strategy introduced in the immediately preceding lesson (e.g., a dozen problems that are solved by using the Pythagorean Theorem). This means that students know which strategy is needed to solve each problem before they read the problem. In an alternative…

The purpose of this study was to identify the perceptions of elementary school principals in Southeastern Virginia regarding implementation of 21st century skills. The Partnership for 21st Century Learning Skills framework was used as a foundation to identify the skills needed for the 21st century. In addition, the framework was used to examine…

Attending to precision (ATP) is essential in mathematics. This study examined ATP instances through the lens of univocal (functioning to convey information) and dialogic (functioning to generate new meaning) discourse. Analysis of data from five secondary mathematics classrooms focused on whole-class instances of ATP with coding based on the…

In this study we examine the use of cumulative and exploratory talk types in a year 5 computer supported collaborative learning environment. The focus for students in this environment was to participate in mathematical problem solving, with the intention of developing the proficiencies of problem solving and reasoning. Findings suggest that…

This article reports the findings of research involving more than 30 teachers and their Year 5 and 6 students in 16 Victorian primary schools. The participants experienced an educational intervention where the "Money and Financial Mathematics" substrand of the "Number and Algebra" content strand was taught and learned through…

This study relates factors in nature of Mathematics and its teaching learning to student difficulties for diverse mathematics tasks. Descriptive survey was done on a sample of 300 high school students in Kerala with a questionnaire on difficulties in learning. Student perception of difficulty on 26 types of tasks, under five heads that students…

Each new version of the GeoGebra dynamic mathematics software goes through updates and innovations. One of these innovations is the GeoGebra 5.0 version. This version aims to facilitate 3D instruction by offering opportunities for students to analyze 3D objects. While scanning the previous studies of GeoGebra 3D, it is seen that they mainly focus…

The aim of this study is to assess learner views with regard to ProbSol learning environment prepared according to problem solving steps for the teaching of "applications related to equations and inequalities". In line with this aim, the study was carried out with 15 volunteered 9th graders who are taught with ProbSol. The study is a…

This paper looks at an activity that breaks the normal classroom teaching pattern (where students are often content to be reluctant, inactive participants in the learning process) with an activity that is likely a new experience for most students--letting the students create and solve their own problems. This is done within a problem structure…

Novice learners are typically unfamiliar with abstract engineering symbols. They are also often unaccustomed to instructional materials consisting of a combination of text, diagrams, and equations. This raises the question of whether instruction on elementary electrical circuit analysis for novice learners should employ contextualized…

This paper reports the process of informal learning in the pre-consulting phase in management-consulting firms in Indonesia. As the consulting industry significantly grows in Indonesia, more organisations use consultant services to improve their business. Pre-consulting is an important phase to define the right solutions, which involves a lot of…

Simulation or game-based assessments produce outcome data and process data. In this article, some statistical models that can potentially be used to analyze data from simulation or game-based assessments are introduced. Specifically, cognitive diagnostic models that can be used to estimate latent skills from outcome data so as to scale these…

This article reports the development and validation study of tests to assess achievements at three levels of knowledge structure, following the model proposed by Sugrue to measure problem-solving skills. The literature has reported this proposal as a model consistent with the theoretical constructs underlying problem-based learning (PBL)…

Private speech utterances (PS) from 24 preschool children and 24 adults were obtained under (noninteracting) listener present and listener absent conditions using 2 tasks with an identical structure. Children produced significantly more PS in the listener present condition. Similar results were obtained with adults, albeit with a reduced incidence…