JOURNAL PROMPTS Affective/Attitudinal Prompts Number A-1 A-2 A-3 A-4 A-5 A-6 A-7 A-8 A-9 A-10 A-11 TOPIC What is education to you? What does it mean to learn? Why do you come to school? Make believe you are writing a letter to a mathematics teacher you had in a previous grade. What would you tell that teacher you wish he/she had done more or less of? Describe yourself to me. Do you think algebra is an important subject for you to study? Why or why not? Explain fully. Explain how you feel about yourself in this class today Tell me something you think I need to know about you and algebra or about you in algebra class today. Write about any topic of your choice. The topic does not have to involve mathematics or algebra. My worst experience with math was when… My best experience with math was when… My best kept secret about math is… If math could be a color (shape, sound), it would be ….because… Date A-12 A-13 A-14 A-15 A-16 A-17 A-18 A-19 A-20 A-21 A-22 A-23 A-24 A-25 A-26 A-27 A-28 Write a letter to the newspaper editor explaining why more importance needs to be given to math education. My parents feel that math is… I want to become better at math so that I… People who are good at math…. When it comes to math, I find it difficult to… When I hear someone say math is fun, I… Is journal writing helpful? Do you like writing in your journal? If I were better at math, I would… Which trigonometric function are you? Why did you choose that function? Does mathematics or math class scare you in any way? Describe fully. My three personal goals for this semester are… Describe how today’s math class will affect your day. My math grade now is … because… This is how I feel about (Calculus, Algebra, Trigonometry, Fractions, etc.) One mathematics activity I really enjoy is … because… Write a letter to a student who will be taking this class next year, giving some advice about this class. Explain how you feel about mathematics now as compared to before you took this class. JOURNAL PROMPTS Mathematical Content Prompts Number B-1 B-2 B-3 B-4 B-5 B-6 B-7 B-8 B-9 B-10 B-11 B-12 B-13 B-14 TOPIC The difference between undefined slope and zero slope is… I think a function is … How would you describe a square root? What patterns do you notice in… (fractions, geometry, trigonometry, derivatives, etc.)? How do you use fractions in your life? What is a reference angle? Why is it necessary? Write your own definition of a polynomial. Write all you know about … (exponents, the Cartesian plane, vectors, standard deviations, etc.) Find a shortcut for adding the numbers between 1 and 100. Explain the Pythagorean Theorem. How could it be used to remember the distance formula? Describe practical uses for each of the conic sections. Compare and contrast the terms median, altitude, perpendicular bisector of a triangle. Explain everything you know about imaginary numbers. Write an explanation about the differences between area and perimeter. Date B-15 B-16 B-17 B-18 B-19 B-20 B-21 B-22 B-23 B-24 B-25 B-26 B-27 In geometry, what is a degree? What is a radian? Which do you prefer to use? How are the graphs of y=1/x2 and y=x2 related? How could you predict the behavior of the second from that of the first? What is the difference between combinations and permutations and by what clues do you distinguish problems involving one or the other? Explain the FOIL method. What are the differences between a circle and an ellipse? Compare and contrast the meanings of the terms “parallel” and “perpendicular.” Why can’t you divide by zero? What is a prime number? Write all you can about prime numbers. How do you simplify a radical expression? What is an asymptote? Explain as much as you can. Distinguish between congruent and similar triangles. Write all you can about them. Why do we need proofs in mathematics? Remember when you learned how to __(factor a polynomial)__ ? Imagine that you are writing a note to your best friend to explain how to do this. Write your note, assuming that your friend really wants to know how to _____ and that he/she must rely on you and only you for an explanation. B-28 B-29 B-30 What is your favorite single digit number? How many reasons can you list for your preference? What about the shape do you like? What do you associate with the number? Be as specific as you can and elaborate as much as possible on why a certain number is your very favorite. A local mathematics contest requires that students compete in mental computation. This means that they are not allowed to use paper and pencil or a calculator to compute an answer. They must do everything mentally. Two students were given the following problem to test their knowledge of “order of operations.” In less than five seconds one student gave the correct answer. When asked how he could work the problem so quickly he said “I used the property of zero.” Explain the property of zero and how this property helped this student work this problem so quickly A student needed to multiply 6 x 530 mentally because she did not have a calculator or a pencil and paper. She had recently learned the distributive property in algebra class so she decided to use that property to mentally compute the product. Explain how she used the distributive property to find the product of 6 x 530. JOURNAL PROMPTS Process Prompts Number C-1 C-2 C-3 C-4 C-5 C-6 C-7 C-8 C-9 C-10 C-11 TOPIC The most important part of solving a problem is… What does it mean to solve an equation? Write instructions for a fifth grader to follow when (adding fractions, finding percentages, calculating averages, etc.) Write a lesson plan on how you would teach a specific math topic. Find something that you learned today that is similar to something you already knew. Write about these similarities Do you use tables or diagrams when solving a problem? Why or why not? You know several ways to … (solve an equation, factor a quadratic, add fractions, etc.) Which method is your favorite? Why? How important is being neat and organized to you in general, and when are you doing math? When I study for a test I… Write a letter to your teacher explaining what you do understand about the topic, and what needs to be clarified. Describe the graph of … as if you were explaining it to a friend over the phone? Date C-12 C-13 C-14 C-15 C-16 C-17 C-18 C-19 C-20 C-21 C-22 C-23 C-24 C-25 What are the benefits of journal writing for mathematics classes? How could journal writing be changed to be more effective? When you get a test back, do you make corrections/ask questions? Why or why not? How should we use class time to the best advantage? Write possible test questions for this unit. What is the most significant thing you learned today? What questions are still unanswered at the end of class today? Explain how you can improve you communication and cooperation in the mathematics classroom. Describe any discoveries you make about mathematics (patterns, relationships, procedures, etc.) Describe the process you undertook to solve this problem. Write WHO, WHEN, WHERE, WHY, and HOW across the top of your page. Answer these questions based on today’s class. Describe the steps you take to prove something in geometry. Tell me what you think the goals or purposes of today’s class were OR explain to me the point you understood best in class today. How did you prepare for the test? In light of the test results, would you change your strategies or not? Explain fully.