We consider the ability to complete an investigative cycle as an indicator of the robustness of students' statistical knowledge. From this standpoint, we analyzed the written reports of primary education student teachers when they developed an investigative cycle in a Chilean and a Spanish university. In their development of the stages of the…

Well-designed digital games hold promise as effective learning environments. However, designing games that support both learning and engagement without disrupting flow is quite tricky. In addition to including various game design features (e.g., interactive problem solving, adaptive challenges, and player control of gameplay) to engage players,…

This profile describes the AIChE Concept Warehouse (CW) website, a community developed, web-based tool to decrease instructional barriers and to help faculty implement concept-based active learning in class. The CW provides three distinct but complementary functions: (a) a content repository, (b) an audience response system and learning management…

I argue that Ricoeur's "preunderstandings" can be used as a heuristic to aid researchers who collect narratives as data (1) to identify cultural meanings that become resources for participants' positioning work, (2) to ground the identified cultural meanings in participants' experiences, and (3) to understand participants'…

Explanation studies underlined the importance of using evidence in support of claims. However, few studies have focused on students' use of others' data (second-hand data) in this process. In this study, students collected data from a local water source and then took all the data back to the classroom to create scientific explanations by using…

The main purpose of the study was to investigate pre-service teachers' perceptions of the criteria used to classify animals. In this regard, it was also aimed at exploring conceptual structures and reasoning patterns shaping the pre-service teachers' perceptions. The participants of the present study were 324 pre-service teachers attending science…

It is clear that the teaching of medical statistics needs to be improved, yet areas for priority are unclear as medical students' learning and application of statistics at different levels is not well known. Our goal is to assess the attitudes of medical students toward the learning and application of medical statistics, and discover their…

This article describes an exciting exploration-based activity in which students develop an alternative definition of factor that can help them solve problems like the one presented above. Students work in groups to collect data, analyze the data to make conjectures, and then spend a significant amount of time debating and justifying their…

Adopting a multitiered design-based research perspective, this study examines pre-service secondary mathematics teachers' developing conceptions about (a) the nature of mathematical modeling in simulations of "real life" problem solving, and (b) pedagogical principles and strategies needed to teach mathematics through modeling. Unlike…

The struggle with fraction learning in kindergarten through Grade 12 in the United States is a persistent problem and one of the major stumbling blocks to succeeding in higher mathematics. Research into this problem has identified several areas where students commonly struggle with fractions. While there are many theories of fraction learning,…

Identifying learning problems of students has been recognized as an important issue for assisting teachers in improving their instructional skills or learning design strategies. The accumulated assessment data provide an excellent resource for achieving this objective. However, most of conventional testing systems only record students' test…

Statistics is an integral part of the K-12 mathematics curriculum (age 5-18). Naturally, students construct misconceptions of what they learn. This article discusses The Bop It[C]Challenge, a review activity assesses student understanding and reveals their misunderstandings of statistical concepts. (Contains 3 figures and 1 table.)

This paper describes theory-led design as a way of developing novel tools for learning analytics (LA). It focuses upon the domain of automated discourse analysis (ADA) of group learning activities to help an instructor to orchestrate online groups in real-time. The paper outlines the literature on the development of LA tools within the domain of…

The study examines how students' conceptual understanding changes from high confidence with incorrect conceptions to high confidence with correct conceptions when reasoning about electromagnetics. The Conceptual Survey of Electricity and Magnetism test is weighted with students' self-rated confidence on each item in order to infer how strongly…

There are infinitely many ways of talking about infinity. The assortment of discourses on learning infinity is infinite as well. When the author says "way of talking" or "discourse," she is concerned with much more than the question of how words are chosen and combined. Ways of talking are not just innocent "auxiliaries" to thinking--they shape…