![]() ![]() Examples of student responses are at the end of this lesson.ġ. After the interviews you should better understand the thinking of students and thereby design appropriate instruction. Choose some students who answered the question correctly as well as some who did not. Based on the written student responses, carry out one-on-one interviews with students to probe their thinking and understanding. Give each student a copy of the item and tell the students to carefully read and answer the questions to the best of their ability. Special attention should be paid to the questions on which students did not perform well. Information about NAEP and released items can be found on the internet at. You may want to familiarize yourself with the National Assessment of Educational Progress (NAEP) report prior to this activity. Procedure Assessment Prior to the Lesson: Begin with the modifed Practice NAEP test item, Caterpillers and Leaves. Materials For the class: l Modified NAEP item, Caterpillars and Leaves activity sheet For each group: l Bead Pack containing 4, 6, or 8 beads of two different colors l String and extra beads l Chart paper l Markers The teacher will probe for and foster proportional reasoning through modeling, sharing of student thinking, and questioning techniques. During the lesson students work with colored beads in two situations for which proportional reasoning is an appropriate problem solving approach. Based on the results of those interviews, the teacher designs an appropriate lesson. Overview of the Lesson The teacher administers a modified version of a released fourth grade NAEP item to students and conducts follow-up interviews. ![]() Lesson Objective Students will create, replicate, and identify patterns while using proportional reasoning to solve problems. Thus, proportionality serves as a bridge to the more abstract relationships addressed in the formal study of algebra. ![]() The fact that many aspects of our world operate according to proportional rules makes this reasoning essential in the interpretation of real world phenomenon. Bead-dazzling Algebraic Thinking Focus Many experiences are needed to build understanding of proportional reasoning. ![]()
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