Articles by Chad
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How does Bayesian knowledge tracing model emergence of knowledge about a mechanical system?
Proceedings of the Fifth International Conference on Learning Analytics And Knowledge - LAK ’15 2015
An interactive learning task was designed in a game format to help high school students acquire knowledge about a simple mechanical system involving a car moving on a ramp. This ramp game consisted of five challenges that addressed individual knowledge components with increasing difficult…
Articles by Chad
Activity
Publications
How does Bayesian knowledge tracing model emergence of knowledge about a mechanical system?
Proceedings of the Fifth International Conference on Learning Analytics And Knowledge - LAK ’15 2015
An interactive learning task was designed in a game format to help high school students acquire knowledge about a simple mechanical system involving a car moving on a ramp. This ramp game consisted of five challenges that addressed individual knowledge components with increasing difficulty. In order to investigate patterns of knowledge emergence during the ramp game, we applied the Monte Carlo Bayesian Knowledge Tracing (BKT) algorithm to 447 game segments produced by 64 student groups in two…
An interactive learning task was designed in a game format to help high school students acquire knowledge about a simple mechanical system involving a car moving on a ramp. This ramp game consisted of five challenges that addressed individual knowledge components with increasing difficulty. In order to investigate patterns of knowledge emergence during the ramp game, we applied the Monte Carlo Bayesian Knowledge Tracing (BKT) algorithm to 447 game segments produced by 64 student groups in two physics teachers’ classrooms. Results indicate that, in the ramp game context, (1) the initial knowledge and guessing parameters were significantly highly correlated, (2) the slip parameter was interpretable monotonically, (3) low guessing parameter values were associated with knowledge emergence while high guessing parameter values were associated with knowledge maintenance, and (4) the transition parameter showed the speed of knowledge emergence. By applying the k-means clustering to ramp game segments represented in the three dimensional space defined by guessing, slip, and transition parameters, we identified seven clusters of knowledge emergence. We characterize these clusters and discuss implications for future research as well as for instructional game design.
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Tracking student progress in a game-like learning environment with a Monte Carlo Bayesian knowledge tracing model
Proceedings of the Fifth International Conference on Learning Analytics And Knowledge - LAK ’15 2015
The Bayesian Knowledge Tracing (BKT) model is a popular model used for tracking student progress in learning systems such as an intelligent tutoring system. However, the model is not free of problems. Well-recognized problems include the identifiability problem and the empirical degeneracy problem. Unfortunately, these problems are still poorly understood and how they should be dealt with in practice is unclear. Here, we analyze the mathematical structure of the BKT model, identify a source of…
The Bayesian Knowledge Tracing (BKT) model is a popular model used for tracking student progress in learning systems such as an intelligent tutoring system. However, the model is not free of problems. Well-recognized problems include the identifiability problem and the empirical degeneracy problem. Unfortunately, these problems are still poorly understood and how they should be dealt with in practice is unclear. Here, we analyze the mathematical structure of the BKT model, identify a source of the difficulty, and construct a simple Monte Carlo BKT model to analyze the problem in real data. Using the student activity data obtained from the ramp task module at the Concord Consortium, we find that the Monte Carlo BKT analysis is capable of detecting the identifiability problem and the empirical degeneracy problem, and, more generally, gives an excellent summary of the student learning data. In particular, the student activity monitoring parameter M emerges as the central parameter.
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The low-Reynolds number spreading of axisymmetric drops and gravity currents along a free surface
Physics of Fluids 1998
Experimental results are presented for the spreading of buoyant drops and gravity currents along a free surface. The spreading occurs at low Reynolds number, and no interfacial tension exists between the spreading and ambient fluid. Theoretical results suggest that distinct spreading rates occur in three regimes: λ≪[ln(R/a)]−1a/R,λ≪[ln(R/a)]−1a/R, a/R≪λ≪R/a,a/R≪λ≪R/a, and λ≫R/a,λ≫R/a, where λ is the ratio of the spreading and ambient fluid viscosities and R/aR/a is the aspect ratio of the drop…
Experimental results are presented for the spreading of buoyant drops and gravity currents along a free surface. The spreading occurs at low Reynolds number, and no interfacial tension exists between the spreading and ambient fluid. Theoretical results suggest that distinct spreading rates occur in three regimes: λ≪[ln(R/a)]−1a/R,λ≪[ln(R/a)]−1a/R, a/R≪λ≪R/a,a/R≪λ≪R/a, and λ≫R/a,λ≫R/a, where λ is the ratio of the spreading and ambient fluid viscosities and R/aR/a is the aspect ratio of the drop or current. Experimentally measured spreading rates in these three regimes show agreement with the theoretical solutions for long-term spreading.
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More activity by Chad
The beta release of CODAP is an important and exciting milestone for the field, and a great testimony to the hard work of many ranging from software…
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Had a great time being part of this conversation about the future of AI in education. Chatting with Victor Lee was a kick as always, and Liberty…
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📣 New podcast! AI has officially entered the classroom—but is it helping students learn or just making headlines? 🤖📚 In this month’s episode of…
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So pleased to see this out to the world This is the culmination of over two years of hard work by many, many people, and great leadership by Kate…
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I am heading back to New York! After 18 years at the California Academy of Sciences in San Francisco, I have accepted a position at the American…
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I was honored by a fantastic reception hosted by our Chancellor to celebrate the start of my journey as the inaugural President of Lone Star…
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We’re excited to launch the Future of Learning Fund to expand the reach of our groundbreaking STEM tools and sustain the models and innovations that…
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I’m very excited about this next chapter of my professional life, getting to work internationally for a year with such innovative and talented…
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IT MIGHT NOT BE TOO LATE TO PUMP UP NSF FUNDING! The federal appropriations process is convoluted: there’s the President’s budget, the…
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