Effective Proof Reading Strategies for Comprehending Mathematical Proofs

Verification of Proof Steps for Tutoring Mathematical Proofs

The feedback given by human tutors is strongly based on their evaluation of the correctness of student’s contributions [7]. A typical approach to verification of contributions in ITSs is model tracing, in which contributions are matched against a precomputed solution graph [1,3]. However verifying steps in mathematical theorem proving poses particular problems because there are possibly infinit...

Analysing Mathematical Proofs (Or Reading Between the Lines)

He study equation solving and analyse the solutions of experienced mathematicians. We find that traditional theorem proving methods are inadequate to explain the directness of these solutions, and that the well known algorithms for polynomials etc. are inadequate to explain the wide variety of equations solved. Our analysis reveals a system of high-level descriptions, strategies and goals, whic...

Lakatos and Hersh on Mathematical Proof

مفهوم اثبات در چند دهۀ اخیر مناقشه­آمیز شده است. به طوری که افراد نظریه‌های مختلفی دربارۀ چیستی اثبات ارائه داده­اند. لاکاتوش و هرش از جملۀ این افراد هستند. نظریه‌های این دو فیلسوف شباهت­ها و اختلافات قابل توجهی دارند. به نظر می‌‌رسد که با مقایسه و بررسی نقادانۀ این دو نظریه فهم بهتری از مفهوم اثبات ریاضیاتی به دست خواهد آمد. دو وجه شباهت مهم بین این دو نظریه عبارتند از: دوگانه‌انگاری در اثبات ...

Effective Reading Instruction Strategies for Students with Significant Cognitive Disabilities

Mathematical models and cost-effective screening strategies for colorectal cancer.

© 2010 Canadian Medical Association or its licensors 1283 In 1993 the results of the Minnesota Colon Cancer Control Study provided clear evidence of the efficacy of screening for colorectal cancer with a guaiac-based fecal occult blood test. By 1997 two leading groups in the United States cited both the strong evidence from the Minnesota trial and inferential evidence from nonexperimental studi...