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.

Generating Interest in Mathematics Using Discussion in the Middle School Classroom

In this action research study of my classroom of 8th grade algebra, I investigated students’ discussion of mathematics and how it relates to interest in the subject. Discussion is a powerful tool in the classroom. By relying too heavily on drill and practice, a teacher may lose any individual student insight into the learning process. However, in order for the discussion to be effective, students must be provided with structure and purpose. It is unrealistic to expect middle school age students to provide their own structure and purpose; a packet was constructed that would allow the students to both show their thoughts and work as a small group toward a common goal. The students showed more interest in the subject in question as they related to the algebra topics being studied. The students appreciated the packets as a way to facilitate discussion rather than as a vehicle for practicing concepts. Students still had a need for practice problems as part of their homework. As a result of this research, it is clear that discussion packets are very useful as a part of daily instruction. While there are modifications that must be made to the original packets to more clearly express the expectations in question, discussion packets will continue to be an effective tool in the classroom.

Daily Problem-Solving Warm-Ups: Harboring Mathematical Thinking In The Middle School Classroom

In this action research study of my classroom of 8th grade mathematics, I investigated the use of daily warm-ups written in problem-solving format. Data was collected to determine if use of such warm-ups would have an effect on students’ abilities to problem solve, their overall attitudes regarding problem solving and whether such an activity could also enhance their readiness each day to learn new mathematics concepts. It was also my hope that this practice would have some positive impact on maximizing the amount of time I have with my students for math instruction. I discovered that daily exposure to problem-solving practices did impact the students’ overall abilities and achievement (though sometimes not positively) and similarly the students’ attitudes showed slight changes as well. It certainly seemed to improve their readiness for the day’s lesson as class started in a more timely manner and students were more actively involved in learning mathematics (or perhaps working on mathematics) than other classes not involved in the research. As a result of this study, I plan to continue using daily warm-ups and problem-solving (perhaps on a less formal or regimented level) and continue gathering data to further determine if this methodology can be useful in improving students’ overall mathematical skills, abilities and achievement.

Differentiation in the Content-Area Classroom for English Language Learners

This paper explores the idea of using differentiation strategies in the content-area classroom to improve reading skills and comprehension. In particular, this thesis explores methods and strategies that can be used in the classroom to help address the individual needs of English language learners (ELLs). A broad range of experts in curriculum, differentiation, and English language acquisition were consulted in the development of this review, which synthesizes the research on ELLs’ needs, differentiation, and differentiation strategies for ELL readers. The models for best teaching practices are then placed within a ninth grade language arts unit.

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.

Traces, Patterns, Texture: In Search of Aesthetic Teaching/Learning Encounters

This inquiry reveals the crucial guidance of teachers toward surveying the capacity and needs of students, the formation of ideas, acting upon ideas, fostering connections, seeing potential, making judgments, and arranging conditions. Each aesthetic trace causes me to wonder how teachers learn to create experiences that foster student participation in the world aesthetically. The following considerations surface: • Given the emphasis in schools on outcomes and results, how do we encourage teachers to focus on acts of mind instead of end products in their work with students? • Given the orientations toward technical rationality, to fixed sequence, how do we help teachers experience fluid, purposeful learning adventures with students in which the imagi¬nation is given room to play? • Given the tendency to conceive of planning in teaching as the deciding of everything in advance, how do we help teachers and students become attuned to making good judgments derived from within learning experiences? • How do we help teachers build dialogical multivoiced conversations instead of monolithic curriculum? • What do we do to recover the pleasure dwelling in subject matter? How do we get teachers and students to engage thoughtfully in meaningful learning as opposed to covering curriculum7 • A capacity to attend sensitively, to perceive the complexity of relationships coming together in any teaching/learning experience seems critical. How do we help teachers and students attend to the unity of a learning experience and the play of meanings that arises from such undergoing and doing? The traces, patterns, and texture evidenced locate tremendous hope and wondrous possibilities alive within aesthetic teaching/learning encounters. It is such aliveness I encountered in the grade 4 art classroom that opened this account and continues to compel my attention. Possibilities for teaching, learning, and teacher education emerge. I am convinced they are most worthy of continued pursuit.

"AFRICAN AMERICAN IDENTITY ISSUES AND ACADEMIC CLASSROOM PRACTICE"

"What my research revealed was that African American students who do not identify with the academic community do not see it as real; rather, they view their academic education as only a means to an end."

History and Epistemology of Science in the Classroom: The Synthesis of Quinine as a Proposal

The history of the quinine synthesis can be used as a case study to emphasize that science is influenced by social and historical processes. The first efforts toward the synthesis of this substance, which until recently was the only treatment for malaria, were by Perkin in 1856 when, trying to obtain quinine,,. he synthesized mauveine. Since then, the quest for the total synthesis of quinine involved several characters in a web of controversies. A major step in this process was made in 1918 by Rabe and Kindler, who proposed the synthesis of quinine from quinotoxine. Twenty-six years later, after obtaining the total synthesis of quinotoxine, Woodward and Doering announced the total synthesis of quinine. However, the lack of experimental details about Rabe and Kindler's process, associated with Woodward and Doering's failure to reproduce it, raised a series of doubts about the synthesis. Stork and colleagues questioned the veracity of the experimental data and even the scientific reputation of the involved researchers. Doubts remained alive until 2008, when Williams and Smith reported, not without reservations, the reproducibility of Rabe and Kindler's protocol. The scientific knowledge as a social and historical development, its legitimating process, and the absence of neutrality in science constitute aspects that can be discussed from this case study, providing significant contributions to science education, in particular, to the initial or continued training of chemistry teachers.