Research has demonstrated the positive impact of active learning on students’ learning outcomes, particularly in science, technology, engineering and mathematics (STEM) fields. However, few studies have explored the impact of active learning via problem-based collaborative games in large mathematics classes in the context of Asian tertiary education. This study assesses the effects of active learning on students’ learning outcomes using class test scores and the calculus concept inventory (CCI) to test the conceptual understanding of the basic principles of differential calculus, in a first year calculus course in Hong Kong. Three hypotheses were tested to determine the effects of game-based collaborative learning on learning mathematics among students. Active learning through a problem-based collaborative learning methodology was employed, using Kahoot!, a game-based learning platform. Results supported all three hypotheses, demonstrating a statistically significant increase in students’ conceptual understanding and examination performance, based upon their individual perceptions of active engagement and time spent in active learning. Our results indicated that active learning “levels the playing field”, in the sense that students with less pre-requisite background knowledge, using a problem-based collaborative learning methodology, were relatively more inclined to catch up or even exceed the performance of students with a stronger prerequisite background knowledge, at the end of the course. Copyright © 2019 by the authors.

Today’s learning environments are providing unique challenges and opportunities for learners to interact with different technologies in meaningful, relevant, and innovative ways. The advent of digital educational game-based technologies has precipitated a growing need for faculty to engage learners and keep them motivated and challenged. In digital game-based active learning, immersion and flow are two essential elements of the player experience that occur during game play. Both these concepts are theoretically distinct, but significantly related from an empirical perspective. Immersion focuses on sensory cues that engage the player’s mind via sensory stimulation, such as how involved the player is in the gaming experience and what response is expected on the part of the player. Flow centers on the cognitive aspects of the gaming experience, emphasizing the relationship between a challenging activity and the skills of a player, but also comprising of engagement, control, challenge, and feedback. A motivation for using digital games to support learning is that well designed game-based learning can provide experiences of immersion and flow, thereby simulating authentic problem-solving tasks that combine instruction, learning, and assessment. Players are immersed through interactive " game-like” activities in a competitive game play format and subsequently driven by optimally challenging tasks. Hence, digital game-based learning technologies have the means to immerse players by retaining motivation within the game by providing mastery feedback at multiple levels. Using Badaboom!, a game-based classroom response system developed by the Hong Kong Polytechnic University, this paper sets forth a conceptual framework for immersion and flow in digital game-based learning. Copyright © 2019 Common Ground Research Networks, Ronnie H. Shroff, Fridolin S. Z. Ting, Wai Hung Lam, Some Rights Reserved (CC BY-NC-ND 4.0).

It has been well documented that active learning (AL) improves student learning outcomes in education. This quasi-experimental study explores the effect of active learning on students' knowledge of calculus concepts, in the form of the Calculus Concept Inventory (CCI), regular assignment scores, and test scores, during an 8-week calculus tutorial program. The active pedagogies used were cooperative problem-based learning and peer assessment, implemented using an interactive online whiteboard (IOWB) called RealtimeBoard. This study reveals statistically significant evidence that active learning increases students' conceptual understanding and graded assignment performance in a first-year calculus class in Hong Kong. Furthermore, this study contributes towards a better understanding of how active learning can be implemented effectively in Asian tertiary mathematics education. Copyright © Springer.