Inconsistent Mathematics

Ran Liu Statement of Teaching Interests - Faculty

Date of publication: 2017-08-25 13:12

Many natural patterns of thought and writing exist: simile, analogy, metaphor, problem-solution, cause-effect, compare-contrast, and more. However, the most important pattern in all of writing is this: beginning, middle, and ending. We must have a beginning, middle, and ending in our whole composition and in our paragraphs. When students achieve this, they express fully-developed points and ideas in their writing—and they do so with rhythm and flow.

Pattern Based Writing - Teaching Writing

Resources on the current page will assist you with your knowledge of students and instructional practices. CT9ME's section on Professional Development includes a variety of resources to assist you with becoming more knowledgeable about the mathematics content you teach and how to enhance your teaching skills. Our section on Standardized Test Preparation provides solid advice and resources. Technology Integration will assist you with strategies for incorporating technology into your instruction, including designing your classroom web site, and incorporating multimedia into math projects. You can learn more about scientifically based research and action research at our Education Research section.

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My present decision to switch from social psychology to political science is further related to a study abroad course sponsored by the European Union with Dr. Samuel Mitchell, an Associate Professor in the Political Science Department at UT. Professor Mitchell obtained a grant to take a class of students to Belgium in order to study the EU. This course revealed a direct correlation between what I had studied in the classroom with the real world. After spending several weeks studying the EU, its history and present movement towards integration, the class flew to Brussels where we met with officials and proceeded to learn firsthand how the EU functioned.

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The 9th-grade multi-paragraph report and the 5th-grade multi-paragraph essay are long-standing educational requirements. The language changes somewhat, but the requirements remain mostly the same: multi-paragraph, organized, clear, coherent, and focused.

Even at first, when the whole research group sat there doing rote calculations and others felt like they were staring down the barrel of defeated purpose, I remained enthusiastic. Time and time again I reminded myself of that famous phrase "great effort leads to great rewards," and sure enough, soon my aspirations began to be met. This shift in attitude also coincided with a shift in location: from the computer desk to the laser lab. It was finally time to get my hands dirty.

The owner replied: It is correct that for a few cents you could have coffee in your own home. But here in the restaurant, we provide exquisite decor, soft background music, professional waiters, and the finest china to serve your cup of coffee.

A math menu -- like courses in a restaurant -- is one format for offering options. You'll also find other phrases used, such as choice boards (which might look like tic-tac-toe boards), learning menus, or extension menus. Consider the following resources:

Sometimes personal strategies for problem solving work better than algorithms. Students who use them demonstrate conceptual understanding, as the YouTube Video, Algorythm and Personal Strategy , illustrates.

A Rationale Directly Addressing Vocabulary Development
What Doesn't Work?
What Does Work?
Strategies for Conceptually Challenging Words
Authentic Assessment of Vocabulary Mastery

The Mussar teachings on gratitude are tough, because they don't let us feel sorry for ourselves, no matter how little we may have. One Mussar master began a talk with a thump on the table and the words, It is enough that a human being is alive! Then he ended his talk right there.

Students can work in all four styles, but tend to develop strengths in one or two of the styles. Each of these styles tends toward one of four dimensions of mathematical learning: computation, explanation, application, or problem solving. If teachers incorporate all four styles into a math unit, they will build in computation skills (Mastery), explanations and proofs (Understanding), collaboration and real-world application (Interpersonal), and nonroutine problem solving (Self-Expressive) (p. 79).

Classroom Management: Teachers Modules by Tom Kratochwill is hosted by the American Psychological Association. Following an introduction, you ll find dos and don ts, why classroom management works, for whom it works, FAQs, developmental differences, and additional resources.

I was easily able to teach each pattern and spend as much time as is needed on each step. Also, I was able to utilize Inspiration software and create templates as organizers based on the pattern that my student had used to begin his paragraph writing. I would recommend it to others working with special needs students.

Class Dojo: Big Ideas has a video series on developing a growth mindset, which was created in collaboration with Carol Dweck. It is meant for learners. Explore this big idea with animated characters, Mojo and Katie.

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