1. Interaction. The interactions learners have with each other build interpersonal skills, such as listening, politely interrupting, expressing ideas, raising questions, disagreeing, paraphrasing, negotiating, and asking for help. 2. Interdependence. Learners must depend on one another to accomplish a common objective. Each group member has specific tasks to complete, and successful completion of each member’s tasks results in attaining the overall group objective.

将“Cooperative Learning”融入课堂——浅谈英语素质教育

It represents a universally applicable attitude and skill set everyone, not just computer scientists, would be eager to learn and use.

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Computational Thinking 計算論的思考

A rising epistemological paradigm in the cognitive sciences—embodied cognition—has been stimulating innovative approaches, among educational researchers, to the design and analysis of STEM teaching and learning. The paradigm promotes theorizations of cognitive activity as grounded, or even constituted, in goal-oriented multimodal sensorimotor phenomenology. Conceptual learning, per these theories, could emanate from, or be triggered by, experiences of enacting or witnessing particular movement forms, even before these movements are explicitly signified as illustrating target content. Putting these theories to practice, new types of learning environments are being explored that utilize interactive technologies to initially foster student enactment of conceptually oriented movement forms and only then formalize these gestures and actions in disciplinary formats and language. In turn, new research instruments, such as multimodal learning analytics, now enable researchers to aggregate, integrate, model, and represent students’ physical movements, eye-gaze paths, and verbal–gestural utterance so as to track and evaluate emerging conceptual capacity. We—a cohort of cognitive scientists and design-based researchers of embodied mathematics—survey a set of empirically validated frameworks and principles for enhancing mathematics teaching and learning as dialogic multimodal activity, and we synthetize a set of principles for educational practice.

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The Future of Embodied Design for Mathematics Teaching and Learning

Although a great deal of research has evidenced the effects of proper instructional design on multimedia learning, most has focused on the cognitive aspects of learning, with little concern about the role of affective-motivational states in multimedia learning. In this study, an AR game-based learning method was designed via integrating AR technology and a digital game for assisting students’ learning, and for probing the factors of metacognitive and motivational factors of multimedia learning. A context-aware mobile learning system with reflection prompts was developed based on the implemented approach. Furthermore, a 2 × 2 experiment was conducted to identify the impacts of the implemented approach on elementary school science learning. Four groups learned with different media mechanisms (i.e., AR or Non-AR) and gaming mechanisms (i.e., Game or Non-game) during an elementary school field trip. The research results displayed that interaction between the AR and game approaches did not exist, and both significantly promoted the students’ learning motivation; however, only the game approach significantly improved the students’ learning achievements and flow states. This study evidenced the significance of flow state in a reflective context in multimedia learning. Such a result also stresses that digital games play an important role in promoting affective-motivational states in multimedia learning.

Impacts of augmented reality and a digital game on students’ science learning with reflection prompts in multimedia learning

Computational Thinking represents a terminology that embraces the complex set of reasoning processes that are held for problem stating and solving through a computational tool. The ability of systematizing problems and solve them by these means is currently being considered a skill to be developed by all students, together with Language, Mathematics and Sciences. Considering that Computer Science has many of its roots on Mathematics, it is reasonable to ponder if and how Mathematics learning can be influenced by offering activities related to Computational Thinking to students. In this sense, this article presents a Systematic Literature Review on reported evidences of Mathematics learning in activities aimed at developing Computational Thinking skills. Forty-two articles which presented didactic activities together with an experimental design to evaluate learning outcomes published from 2006 to 2017 were analyzed. The majority of identified activities used a software tool or hardware device for their development. In these papers, a wide variety of mathematical topics has been being developed, with some emphasis on Planar Geometry and Algebra. Conversion of models and solutions between different semiotic representations is a high level cognitive skill that is most frequently associated to educational outcomes. This review indicated that more recent articles present a higher level of rigor in methodological procedures to assess learning effects. However, joint analysis of evidences from more than one data source is still not frequently used as a validation procedure.

Mathematics Learning through Computational Thinking Activities: A Systematic Literature Review

We present a new technology-based paradigm to support embodied mathematics educational games, using wearable devices in the form of SmartPhones and SmartWatches for math learning, for full classes of students in formal in-school education settings. The Wearable Learning Games Engine is web based infrastructure that enables students to carry one mobile device per child, as they embark on math team-based activities that require physical engagement with the environment. These Wearable Tutors serve as guides and assistants while students manipulate, measure, estimate, discern, discard and find mathematical objects that satisfy specified constraints. Multi-player math games that use this infrastructure have yielded both cognitive and affective benefits. Beyond math game play, the Wearable Games Engine Authoring Tool enables students to create games themselves for other students to play; in this process, students engage in computational thinking and learn about finite-state machines. We present the infrastructure, games, and results for a series of experiments on both game play and game creation.

https://dl.acm.org/doi/pdf/10.1145/3116595.3116637

Wearable Learning: Multiplayer Embodied Games for Math

This paper examines whether using From Here to There! (FH2T:E), a dynamic game-based mathematics learning technology relates to improved early algebraic understanding. We use student log files within FH2T to explore the possible benefits of student behaviors and gamification on learning gains. Using in app measures of student interactions (mouse clicks, resets, errors, problem solving steps, and completions), 19 variables were identified to summarize overall problem solving processes. An exploratory factor analysis identified five clear factors including engagement in problem solving, progress, strategic flexibility, strategic efficiency, and speed. Regression analyses reveal that after accounting for behavior within the app, playing the gamified version of the app contributed to higher learning gains than playing a nongamified version. Next, completing more problems within the game related to higher achievement on the post-test. Third, two significant interactions were found between progress and prior knowledge and engagement in problem solving and prior knowledge, where low performing students gained more when they completed more problems and engaged more with those problems.

From here to there! Elementary: a game-based approach to developing number sense and early algebraic understanding

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From Here to There! Elementary: A Game-Based Approach to Developing Number Sense and Early Algebraic Understanding.

The current study explores the effects of physical spacing within mathematical expressions on student performance. A total of 2,152 students in 5th-12th grade were randomly assigned to one of four conditions within an online problem set, with terms in algebraic expressions spaced 1) neutrally, with no spaces in the expression, 2) congruent with the order of precedence through grouping terms, 3) incongruent with the order of precedence, or 4) mixed, a combination of the previous conditions. Results show that students who viewed incongruent problems made more errors and had to solve more problems to complete the assignment than those who viewed congruent or neutrally spaced problems. Additionally, students who viewed problems with mixed spacing had to solve more problems to complete the assignment than students who viewed congruent problems. These findings suggest that viewing expressions with spacing that is incongruent with the order of precedence presents challenges for students. Overall, these results replicate prior research in perceptual learning in a natural homework environment and support the claim that physical spacing between terms does influence student performance on order of precedence problems.

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Spacing Out! Manipulating Spatial Features in Mathematical Expressions Affects Performance

Our research uses game creation and play to explore methods for computational thinking assessment and practice in mathematics classrooms. We present the first iteration of this research that aims to evaluate the feasibility of using game creation with high school students. Students designed math-related games, modified the game to incorporate technology, then visually depicted the technological behavior in a finite state machine diagram (FSMD). We found that students were able to create math-related games, meet the constraints given for game creation, and design logical FSMDs. These findings preliminarily suggest that game creation can be used as a method for students to practice CT.

Taylyn Hulse

Papers

Wearable Learning: Multiplayer Embodied Games for Math

From here to there! Elementary: a game-based approach to developing number sense and early algebraic understanding

From Here to There! Elementary: A Game-Based Approach to Developing Number Sense and Early Algebraic Understanding.

Spacing Out! Manipulating Spatial Features in Mathematical Expressions Affects Performance

Computational Thinking Through Game Creation in STEM Classrooms