eric.ed.gov har udgivet: Misconceptions have been an important area of study in STEM education towards improving our understanding of learners’ construction of knowledge. The advent of largescale tutoring systems has given rise to an abundance of data in the form of learner question-answer logs in which signatures of misconceptions can be mined. In this work, we explore the extent to which collected expert misconception diagnoses can be generalized to held-out questions to add misconception semantics. We attempt this generalization by way of a question-answer neural embedding trained on chronological sequences of learner answers. As part of our study, we collect natural language misconception diagnoses from math educators for a sampling of student answers to questions within four topics on Khan Academy. Drawing inspiration from machine translation, we use a multinomial… Continue Reading →
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eric.ed.gov har udgivet: Embedding computers in math teaching is not a totally new issue, but the dilemmas related to it multiply more rapidly than the answers are being supplied. This study asks: What is the most appropriate way to prepare instrumentally and mentally the future math teachers to the reality demanding permanent competent adjustment to rapidly developing computerized environment in math teaching? In order to try to refer to this question at least partially, the authors designed a research project in which they studied the performances of several groups of students, studying several courses at different levels of mathematical knowledge and embedding a variety of computerized tools. Moreover, they induced all of the students to experience at least two-three different computerized tools in different courses during three years of their… Continue Reading →
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tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract In a high-stakes assessment culture, it is clearly important that learners of mathematics develop the necessary fluency and confidence to perform well on the specific, narrowly defined techniques that will be tested. However, an overemphasis on the training of piecemeal mathematical skills at the expense of more independent engagement with richer, multifaceted tasks risks devaluing the subject and failing to give learners an authentic and enjoyable experience of being a mathematician. Thus, there is a pressing need for mathematical tasks which embed the practice of essential techniques within a richer, exploratory and investigative context. Such tasks can be justified to school management or to more traditional mathematics teachers as vital practice of important skills; at the same time, they… Continue Reading →
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