The quality of teaching mathematics and science depends on the teachers' competencies about instant feedback to mistakes. Instant feedback is some kind of feedback used whenever a mistake occurs. Mistakes are a starting point for learning; a chance to construct new knowledge or describe the misconceptions. Therefore studies on mistakes and instant…

This study examined and compared different written corrective feedback techniques used by English as a second language (ESL) teachers in three different educational contexts and levels (primary, secondary, and college) in Quebec, Canada. In particular, it examined whether there were any differences in the types of errors made, the kind and degree…

Evidence from recent research suggests that in the UK the public perception of errors in national examinations is that they are simply mistakes; events that are preventable. This perception predominates over the more sophisticated technical view that errors arise from many sources and create an inevitable variability in assessment outcomes. The…

Mathematics teachers are often asked, "What is the most difficult topic for you to teach?" Their answer is teaching students to count. The concepts can be challenging and slippery to apply in problems. Many times, no rigid procedures or formulas can be used to solve the problems directly, and students simply do not know where or how to approach…

Too many multiple-choice tests are administered without an evaluative component. Teachers often return student assessments or Scantron cards--computerized bubble forms--without review, assuming that the printing of the correct answer will suffice. However, a more constructivist approach to follow up multiple-choice tests can make for more…

The history of mathematics is full of rich examples that can help students to see the place of the discipline within our cultural heritage. Valuable as this can be, it also has the unfortunate side-effect of making students think that all the math has already been done and they do not get a sense that the subject is dynamic and growing.…