Session 10, Grades K-2, Part A:
The Concept of Area (25 minutes)

 To begin exploring what the teaching of measurement might look like in the classroom, participants in the Measurement course first reexamined the big ideas around one topic: area. They considered how children make sense of these ideas and discussed ways to present these concepts to young students.

 Video Segment In this video segment, Dr. Chapin reviews four big ideas of area. To plan lessons that will help students understand area concepts, it is essential that teachers consider these and other big mathematical ideas when designing instructional sequences. If you are using a VCR, you can find this segment on the session video approximately 1 minute and 15 seconds after the Annenberg Media logo.

Problem A1

Answer the questions based on what you saw in the video:

 a. What is one of the fundamental concepts of area? Why? b. What vocabulary must students understand to make sense of area? c. Are there related concepts or skills that will affect whether or not students can make sense of area? d. Thinking back to the big ideas of this course, what are some other ideas that young students should encounter to help extend and deepen their understanding of the topic?

 Problem A2 Choose one of the concepts that you listed for Problem A1 and describe an instructional activity that you might use to help students grasp that concept.

 Video Segment In this video segment, kindergarten, first-, and second-grade teachers discuss some of the important ideas about area. One teacher mentions that the conservation of area has to be considered when teaching young children. If you are using a VCR, you can find this segment on the session video approximately 3 minutes and 30 seconds after the Annenberg Media logo.

 Problem A3 What types of experiences engage students in thinking about the conservation of area?