Writing about Mathematical Concepts


Book Description

The study took place in an Algebra 1 class with mostly ninth grade students at an urban private school. The research focused on twenty students, one who was an English Language Learner whose primary language was Spanish. These students had varying mathematical skills, and mostly relied on procedure to solve math problems. The objective of the intervention was to increase conceptual knowledge. Intervention and Data: Over the course of three months I took baseline data and completed an intervention. I took observational field notes in class, recording how much students were participating and what kinds of activities they were doing. I took pre and post student achievement data for each of the four activities. Student achievement data included both homework and test problems. During the intervention, students did four activities on four different topics that students were currently learning. Activities scaffolded students with how to solve a problem and write a good explanation for how and why. For the first two activities, students were given a math problem along with different explanations of how to solve the problem. Students were to figure out which explanation was best. For the third activity, students were given a math problem and its solution and were expected to write down how and why each step was being done. For the fourth activity, students were given two math problems and were asked to write a solution to each problem, and then explain how and why they did each step. After each activity, students got feedback on their responses from a partner, and filled out a survey on the activity. Results: Students' problem solving skills and explanation skills increased after doing the intervention. Students developed different roles during the activity between partners, becoming readers, listeners, questioners, or leaders. Also student achievement of the English Language Learner increased.










Authentic Opportunities for Writing about Math in Upper Elementary


Book Description

Teach students to write about math so they can improve their conceptual understanding in authentic ways. This resource offers hands-on strategies you can use to help students in grades 3–5 discuss and articulate mathematical ideas, use correct vocabulary, and compose mathematical arguments. Part One discusses the importance of emphasizing language to make students’ thinking visible and to sharpen communication skills, while attending to precision. Part Two provides a plethora of writing prompts and activities: Visual Prompts; Compare and Contrast; The Answer Is; Topical Questions; Writing About; Journal Prompts; Poetry/Prose; Cubing and Think Dots; RAFT; Question Quilts; and Always, Sometimes, Never. Each activity is accompanied by a clear overview plus a variety of examples. Part Three offers a crosswalk of writing strategies and math topics to help you plan, as well as a sample anchor task and lesson plan to demonstrate how the strategies can be integrated. Throughout each section, you’ll also find Blackline Masters that can be downloaded for classroom use. With this book’s engaging, standards-based activities, you’ll have your upper elementary students communicating like fluent mathematicians in no time!







Effects of Integrating Writing Activities on Students' Attitudes and Achievement in Problem Solving


Book Description

In this study, students demonstrated overall increased mathematical knowledge, strategic knowledge, and abilities to explain their procedures. In addition, all three data-collection instruments demonstrated students' positive attitudes toward problem solving. Moreover, evaluation of the data sources illustrated a relationship between students' performance and attitudes. The study suggested that writing about mathematics is beneficial to students' achievement and attitudes toward problem solving.










The Effects of Problem Solving Strategy Instruction, Journal Writing and Discourse on 6th Grade Advanced Mathematics Student Performance


Book Description

There are two purposes to this study. The first was for me, as a teacher, to try something new in my instruction and grow from it. The second purpose of this study focused on the students. I wanted to see what level of performance in problem solving my students are at currently, and how the use of journaling and discourse affected the students' problem solving abilities. A problem-solving unit was taught heuristically in order to introduce students to the various strategies that could be used in problem solving. Math journals were also used for problem solving and reflection. Classroom discourse in discussion of problem solving situations was used as a means of identifying strategies used to solve the problem. Explanations and justifications were then used in writing and discourse to support students' solution and methods. An analytic problem-solving rubric was used to score the problems solved by the students. These scores, along with explanations and justifications, and discourse were used as data and analyzed for common themes. The results of this study demonstrate overall improvement in student performance in problem solving. Heuristic instruction the students received on strategies in problem solving helped to improve their ability to not only select an appropriate strategy, but also implement it. This unit, along with the problem solving prompts solved in the journals, helped to improve the students' performance in explanations. It was discourse combined with all the previous instruction that finally improved student performance in justification.