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Casa, Kyle Evans, Janine M. Firmender and Madelyn W. Colonnese When teachers understand the key purposes for having students do mathematical writing, they can use that writing to deepen understanding.
Sanchez asks her class to write in their journals. Students walk to the neat, color-coded bins to collect their personalized journals, and then turn their attention to describing the similarities and differences between the attributes of squares and rectangles.
Down the hall, Mr. Bell has students journal about how the Egyptian numeration system is different from the one people in western cultures use today.
Across the hall, some of Mr. Valley Elementary is a hypothetical school we use here to highlight how teachers can implement different types of mathematical writing for distinct purposes.
A closer look at the kind of writing taking place in elementary schools illuminates the various purposes for engaging students in diverse kinds of writing exercises—exercises that result in different types of writing connected to math. To improve this situation, inthe Elementary Mathematical Writing Task Force, of which three of us were members Casa et al.
The task force sorted through different writing activities that typically take place in math classrooms. One category, they realized, encompasses activities in which students write about mathematics, which prioritize the learning of literacy over mathematics.
Examples of this type of writing include asking students to write about the lives of mathematicians or the math autobiography Ms. At its heart, mathematical writing forefronts mathematical reasoning over literacy skills.
This writing involves text; it can also include symbols like the equal signnumerals, operations, and such visual representations as pictures, charts, or tables unique to the discipline of mathematics. Ultimately, the task force identified four types of mathematical writing that serve the overarching goals of engaging students in mathematical reasoning and communication: Making Sense of It In Mr.
Writing was one strategy available for exploring this question, and Mr.
Rossi reminded his students that they could write to work out their solutions and confusions in their math journals if they were so inclined. Some students decided to chat with a partner, others used manipulatives, and a few jotted down their initial ideas or worked out some specific subtraction examples.
The students choosing to write were engaged in exploratory writing—writing that helps students make sense of a problem or situation and sort through their own thoughts about mathematical concepts. Such writing can be initiated by the student at any time.
This student wrote notes to herself at the top of the paper before answering the question about visual representations of fractions. Clarifying to Others Activities like Mrs. This kind of writing is a good opportunity for teachers to remind students that they should be clear in their writing and to guide students so their written messages are mathematically accurate.
Students can be asked to write descriptions of mathematical concepts, representations, and definitions, among other tasks. They may also be invited to provide mathematical explanations; besides explanations for solving a problem, these might include writing about mathematical connections and making comparisons between different representations or comparisons to real-world applications of math.
Students often use this type of writing to communicate to others, such as their teachers or peers. Making Your Case Remember the students in Mr. Thinking Beyond Boundaries Although the objective of Mrs. In another case, a 4th grader whose teacher showed her work to members of the task force as an example of innovative thinking in math, initially made a table that was organized similarly to the strategy discussed in class for solving a rich task.
She then made a second table organized differently, highlighted the pattern, and described her own formula for solving the problem. She explained how she arrived at the correct answer every time using each approach.
These students were engaging in mathematically creative writing, in which students think creatively and document mathematical ideas that extend beyond the intended outcome or process of solving a problem. This includes students generating original ideas, posing novel problems or questions, and displaying flexibility and fluency in ideas.
Writing down outside-the-box ideas in this manner is something mathematicians do regularly. To be considered original, the resulting ideas need not be original to the whole field of mathematics, but rather original to the student posing the idea—or to the class. Flexibility and fluency in ideas indicate that students are able to approach problems in unique ways and generate multiple ideas for the same problem.
Mathematically creative writing also includes students elaborating on their ideas by writing extensions of their understanding or creating or developing mathematical generalizations. If so, being clear about these four types of mathematical writing might help inform your decisions about incorporating more writing into your classes.
The Elementary Mathematical Writing Task Force also pondered four questions related to the logistics of writing in math.7 thoughts on “ Literary Journal Submissions ” SM May 9, at am.
This is really awkward but if you are using quotation marks to illustrate a title, you do not put punctuation in the quotes.
EasyBib — your online writing hub All the tools to submit your paper with confidence. Nov 16, · How to Write an Article Review In this Article: Article Summary Preparing to Write Your Review Writing the Article Review Sample Article Reviews Community Q&A An article review is both a summary and an evaluation of another writer's article%().
Feb 07, · Reader Approved How to Write a Critique in Five Paragraphs. Five Parts: Laying the Groundwork Writing the Introductory Paragraph Writing the 3 Body Paragraphs Writing the Conclusion Paragraph and References Sample Critiques Community Q&A A critique is usually written in response to a creative work, such as a .
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Article Critique Example. One of the ways of simplifying the whole process of completing the assignment is using an article critique example.
Many students decide to download such samples in order to get an overall idea of how the assignment should look like and what key points should be added.