Illuminating and Advancing the Path for Mathematical Writing Research


Book Description

Mathematical writing is essential for students’ math learning, but it’s often underutilized due to unclear guidelines. Mathematical writing is a mode of communication that provides teachers access to their students’ thinking and, importantly, offers students an opportunity to deepen their mathematical understanding, engage in mathematical reasoning, and learn a fundamental way to communicate mathematically. Notably, one needs to be able to judiciously combine mathematical symbols, representations, and text. However, more research is needed to exemplify the qualities of mathematical writing, develop implementation methods, and support teachers. Illuminating and Advancing the Path for Mathematical Writing Research, is a necessary comprehensive resource designed to enhance mathematical writing and promote equitable learning. This research book provides a comprehensive understanding of the current state of mathematical writing and illuminates various perspectives on moving the teaching and learning of k-12 mathematical writing forward. Mathematical writing is an important yet underutilized component of mathematical discourse, and this book offers further insight into understanding what it means to write mathematically for mathematics educators and researchers. It informs with research-based implementation strategies and creates purposeful professional learning opportunities. Ultimately, k-12 students will benefit from a more informed field because they will have access to a vital mode of mathematical reasoning and communication.







Integrating Math and Language Arts in the Classroom


Book Description

The contemporary American elementary classroom is comprised of a more diverse student population than has ever been seen before. The strong emphasis of mastery in language arts and mathematics at the elementary level as outlined by the no Child Left Behind Act, causes enough stress for students whose primary language is English (native English speakers), let alone those English language learners (ELL) who require extra instruction to "catch up" to their native speaking counterparts. For teachers, the task of getting their students to reach their expected potential is getting more difficult as blocks of instruction decrease, class sizes increase, and the demands of performance based education prevail. This study intended to look at the use of the language arts practice of journaling for math instruction and its effect on academic performance in both language arts and math. Solving math word problems and writing skills were specifically assessed. A five-week intervention of math journaling was implemented in a third grade classroom. Twenty two students were divided into a control and an experimental group based on academic achievement and language status (English language learner (ELL) or native English speaker) per student records. The experimental group was given math journaling time three to four times a week for five weeks for 20 minutes to write about a prompted math concept with the researcher while the control group practiced and reviewed already taught concepts with the classroom teacher. Results showed there was a statistically significant difference in academic performance between groups in both word problem solving and writing skills with the experimental group using mathematics writing journals scoring higher in both.







Writing in Math Class


Book Description

Writing in Math Class presents a clear and persuasive case for making writing a part of math instruction. Author and master teacher Marilyn Burns explains why students should write in math class, describes five different types of writing assignments for math, and offer tips and suggestions for teachers. In her usual engaging style, Marilyn Burns tells what happened in actual classrooms when writing was incorporated into math lessons. Illustrated throughout with student work. With a foreword by Susan Ohanian.




Effects of Writing in the Mathematics Classroom


Book Description

Writing in the subject matter is widely supported by authors and professional organizations. For example, the National Council of Teachers of Mathematics (NCTM) lists communication, including writing, as an essential part of mathematics education in their Principles and Standards for School Mathematics (2000). The NCTM also states that students can use communications with peers, teachers, and others to organize and consolidate their mathematical thinking. In addition, effective classroom communications provide students with the opportunity to review, analyze, and evaluate the mathematical thinking and strategies of others so that mathematical ideas can be expressed more precisely. Similarly, Sutton and Krueger (2003) believe that reading and writing should be combined with mathematics at all times, and go on to state that the importance of writing in the mathematics classroom cannot be overemphasized. Aside from helping students to clarify their understanding of mathematics and improve their communications skills, writing also helps students to organize their ideas and thoughts more logically so that clear and coherent conclusions can be reached. The purpose of this study was to see if doing a significant amount of writing in a high school mathematics class will improve students' understanding of mathematical concepts. More specifically, the researcher wanted to know whether students gain more confidence and reduce their math phobia if asked to write about their difficulties and challenges when solving multistep problems and word problems. Additionally, this research focused on improving students' abilities to explain their reasoning behind required procedures. This study took place in a large urban high school in Connecticut. There were 51 participants of this study, all of them enrolled in Academic Geometry classes. Historically students in an academic track have been resistant when asked to explain their thinking and have avoided any kind of word problems. This investigation focused on students' attitude in math as well as their achievement. Although this study did not show any significant increase in grades on post-tests, students in the experimental group improved their ability to explain their reasoning behind required procedures and they gained more confidence when asked to solve word problems.










Building Thinking Classrooms in Mathematics, Grades K-12


Book Description

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.