by Michael Nicoloff | Jul 3, 2018
IntroductionThe tasks students do, and the sequence of these tasks over time, can dramatically shape how students imagine and think about fractions. To consider how students build their understanding of fractions based on their prior understanding of whole numbers,...
by Michael Nicoloff | Sep 13, 2018
What Images of Fractions Do Students Develop?We examine a curriculum that introduces fractions using a linear measurement context and will see lesson videos based on the curriculum.Read the grade 3 unit that introduces fractions in the Tokyo Shoseki curriculum (the...
by Michael Nicoloff | Jul 3, 2018
Video of Lesson 1Watch the video and take notes on the Video Observation Notes. To prepare, we suggest that you:Imagine how you would teach the beginning of the grade 3 fractions unit.Look over the Summary of Video Excerpts (Lesson Series 1) on page 26.Divide up the...
by Michael Nicoloff | Jul 3, 2018
Video of Lesson 2Watch the video and use your Video Observation Notes to discuss the following questions. The Summary of Video Excerpts (Lesson Series 1) may also be useful in jogging your memory of the lesson.The instructor takes considerable time to write on the...
by Michael Nicoloff | Jul 3, 2018
Video of Lesson 3Watch the video and use your Video Observation Notes to discuss the following questions. The Summary of Video Excerpts (Lesson Series 1) may also be useful in jogging your memory of the lesson.How do students connect linear measurement activities to...