Writing in the Mathematics Classroom: Does It Have an Effect on Students’ Mathematical Reasoning?

In this action research study of my classroom of 5th grade mathematics, I investigate how to improve students’ written explanations to and reasoning of math problems. For this, I look at journal writing, dialogue, and collaborative grouping and its effects on students’ conceptual understanding of the mathematics. In particular, I look at its effects on students’ written explanations to various math problems throughout the semester. Throughout the study students worked on math problems in cooperative groups and then shared their solutions with classmates. Along with this I focus on the dialogue that occurred during these interactions and whether and how it moved students to a deeper level of conceptual understanding. Students also wrote responses about their learning in a weekly math journal. The purpose of this journal is two-fold. One is to have students write out their ideas. Second, is for me to provide the students with feedback on their responses. My research reveals that the integration of collaborative grouping, journaling, and active dialogue between students and teacher helps students develop a deeper understanding of mathematics concepts as well as an increase in their confidence as problem solvers. The use of journaling, dialogue, and collaborative grouping reveals themselves as promising learning tasks that can be integrated in a mathematics curriculum that seeks to cultivate students’ thinking and reasoning.

A REVISIONARY APPROACH TO CROSS-CURRICULAR LITERACY WORK

In this dissertation, I use qualitative research methods to study relationships between compositionists and faculty in other disciplines in the context of cross-curricular literacy (CCL) work. Drawing on a two-year CCL project in the biology department, for which I was a participant observer, I argue that compositionists need to attend more carefully to issues that influence day-to-day interactions with disciplinary faculty in order to develop more meaningful CCL relationships. Toward that end, I offer a revisionary approach to cross-curricular literacy work that cultivates complex relationships by delaying consensus and embracing disconnection and disorientation. More specifically, I employ revisionary stance as a discursive strategy to complicate three key concepts in CCL literature and scholarship—expertise, change, and outcomes. I re-vision three texts produced during my time in the biology department in order to illuminate the complexities of negotiating expertise, recognizing change, and pursuing outcomes in CCL contexts. Given the reciprocal relationship between discursive and material change (Lee), I maintain that revision of CCL discourse can inspire revision on a pedagogical level, shaping how compositionists and disciplinary faculty participate in CCL interactions. Thus, a revisionary approach leads me to conceptualize revisionary pedagogy for cross-curricular literacy work. I theorize revisionary pedagogy as a means of fostering pedagogical relationships in CCL contexts, complicating how relationships are framed in traditional Writing Across the Curriculum/Writing in the Disciplines scholarship. The literature advances three main conceptual models of CCL, each of which embraces expertise, change, and outcomes in ways that sponsor potentially problematic relationships between compositionists and disciplinary faculty. I draw on Composition scholars’ rich conceptualization of revision (Jung; Lee; Welch) and pedagogy (Kameen; Qualley; Stenberg) to challenge the litany of next-best models and imagine alternative possibilities for relationships in CCL contexts. Revisionary pedagogy is a means of approaching material circumstances that reconstitutes how compositionists and disciplinary faculty conceive of and participate in CCL relationships.

Journal Writing in Mathematics: Exploring the Connections between Math Journals and the Completion of Homework Assignments

In this action research study of sixth grade mathematics, I investigate how the use of written journals facilitates the learning of mathematics for my students. I explore furthermore whether or not these writing journals support students to complete their homework. My analysis reveals that while students do not access their journals daily, when students have the opportunity to write more about one specific problem--such as finding the relationship between the area of two different sized rectangles – they, are nevertheless, more likely to explain their thoughts in-depth and go beyond the traditional basic steps to arrive at a solution. This suggests the value of integrating journal writing in a math curriculum as it can facilitate classroom discussion from the students’ written work.

Writing In Math Class? Written Communication in the Mathematics Classroom

In this action research study of my seventh grade mathematics classroom, I investigated what written communication within the mathematics classroom would look like. I increased vocabulary instruction of specific mathematical terms for my students to use in their writing. I also looked at what I would have to do differently in my teaching in order for my students to be successful in their writing. Although my students said that using writing to explain mathematics helped them to better understand the math, my research revealed that student writing did not necessarily translate to improved scores. After direct instruction and practice on math vocabulary, my students did use the vocabulary words more often in their writing; however, my students used the words more like they would in spelling sentences rather than to show what it meant and how it can be applied within their written explanation in math. In my teaching, I discovered I tried many different strategies to help my students be successful. I was very deliberate in my language and usage of vocabulary words and also in my explanations of various math concepts. As a result of this research, I plan to continue having my students use writing to communicate within the mathematics classroom. I will keep using some of the strategies I found successful. I also will be very deliberate in using vocabulary words and stress the use of vocabulary words with my students in the future.

Discourse and Cooperative Learning in the Math Classroom

In this action research study of my 6th grade math classroom I investigated the effects of increased student discourse and cooperative learning on the students’ ability to explain and understand math concepts and problem solving, as well as its effects on their use of vocabulary and written explanations. I also investigated how it affected students’ attitudes. I discovered that increased student discourse and cooperative learning resulted in positive changes in students’ attitudes about their ability to explain and understand math, as well as their actual ability to explain and understand math concepts. Evidence in regard to use of vocabulary and written explanations generally showed little change, but this may have been related to insufficient data. As a result of this research, I plan to continue to use cooperative learning groups and increased student discourse as a teaching practice in all of my math classes. I also plan to include training on cooperative learning strategies as well as more emphasis on vocabulary and writing in my math classroom.

Departmentalization in the 5th Grade Classroom: Re-thinking the Elementary School Model

In this action research study of my 5th grade classroom, I investigated the benefits of a modified block schedule and departmentalization. The research consisted of dividing the 5th grade curriculum into three blocks. Each block consisted of two primary subject areas: Mathematics was paired with Social Studies, Reading was paired with Health, and Writing was paired with Science. These groupings were designed to accommodate district time-allotment requirements and the strengths of each teacher within the 5th grade team. Thus, one teacher taught all of the Mathematics and Social Studies, another all of the Reading and Health, and another all of the Writing and Science. Students had classes with each teacher, each school day. I discovered that this departmentalization had many benefits to both students and teachers. As a result of this research, we plan to continue with our new schedule and further develop it to more fully exploit the educational and professional advantages we found to be a part of the project.

Scientometric Study of Doctoral Dissertations in Biochemistry in the University of Kerala, India

Biochemistry is the most fascinating subject as it deals with the chemical language of life. The ultimate goal of biochemistry is to describe the phenomena that distinguish living from non-living in the language of chemistry and physics. Researchers in biochemistry use specific techniques native to biochemistry, but increasingly combine these with techniques and ideas from genetics, molecular biology and biophysics. In India at present around 75,000 students are enrolled in research and nearly 11,000 are awarded PhDs every year, of which 50 percent are from science and technology disciplines. Theses and dissertations reflect the scholarly communication process. Scientometrics and citation characteristics of dissertations like the subject fields of dissertations, the number of citations and their distribution by type of source, years, and by number of authors etc., have been studied with a view to identify the basic features of the scholarly communication process in different fields of study. The purpose of the present study is to determine the bibliometric characteristics of the biochemistry research in the university of Kerala, India including subject distribution, bibliographic forms of cited documents, most cited journals, collaboration in authorship, etc. A total of 168 doctoral dissertations awarded between 1966 and 2007 at the Department of Biochemistry of University of Kerala were used as a source.

Writing in a Mathematics Classroom: A Form of Communication and Reflection

In this action research study, I investigated the use of journaling in my seventh grade mathematics classroom. I discovered that journaling can be a very rewarding and beneficial experience for me and for my students. Through journaling, my students became more adept at using correct mathematical terminology in writing and in speaking. The students also believed that they learned the content more deeply and retained it better. Additionally, implementing mathematical journals caused me to emphasize the use of correct terminology and thorough explanations of mathematical thinking in classroom discussions. As a result of this research, I plan to refine my journaling process and continue to use mathematical journals with my future classes.

Integrating Visual and Verbal Literacies in the Early Childhood Classroom

Young children have the strong desire to use all of the communicative tools their cultures and families offer them. They want to be able to do all of the things that the powerful people they admire can do, including talking, writing, drawing, using the computer, and otherwise creating and sharing ideas, memories, solutions, even jokes and feelings. Today, we live in a time when the communicative tools are changing rapidly, practically exploding before our eyes in terms of the formats and media available to us in complex combinations not seen before. What do these technological changes mean for how we can support children's development toward literacy? An integrated arts curriculum has long been favored by many educators, but today there are more reasons than ever to implement such a philosophy. From communications theory comes a new understanding of how modern technologies demand that children learn to "read" and "write" messages involving complex combinations and integrations of visual and verbal formats. From psychology come insights about intelligence being multiple not unitary, as well as ecological perception theory offering a well-accepted framework for analyzing the affordances and expressive possibilities of different media. From education come fresh approaches to integrated curriculum, including a philosophy and pedagogy from Reggio Emilia, Italy, that combines well with current thinking by North Americans. Altogether, we have many rationales and exciting strategies at hand for launching young children toward an integrated visual and verbal literacy that involves substance, challenge, and discipline, as well as innovation, creativity, and freedom.

The Evolution of Sonata Form in the Wind Music of W.A. Mozart

Mozart’s wind music occupies a rather small space in the overall scope of his compositional output, numbering a total of ten works. Yet when viewed in the larger context of Mozart’s life, the wind music was written over the span of nine years, encompassing a large period from his youth up to his last decade in Vienna. Ranging from the simple divertimenti (K. 166 and 186) through the Tafelmusik (K. 213, 240, 252, 253 and 270) and finally culminating in the three Serenades (K. 361, 375 and 388), the wind music demonstrates Mozart’s maturation in wind writing, and also serves to illustrate the evolution in his use of sonata forms.