| HW #2 |
Updated X-mania Handout, for absent students.
- X-mania write-up:
Create a one or two page guide to your X-mania number system (you may use your group’s system,
or another system of your choosing). Make it clear how your system relates to the manipulatives (a.k.a. “artifacts”).
Include examples of the numbers 1 thru 25 in your new number system, along with numbers equivalent to
43 and 87 and 203 and 1928.
- Finish Skemp article listed above. Type up a one page summary on the article
and type up 3 to 5 questions/concerns the article raised for you. The summary should be
double spaced and carefully proofread.
| Tues, Jan 11th
| | HW #3 |
* Try WB 3.1 before the other homework problems.
- 1) Create a method for adding together multidigit base 5 numbers.
Show your method on the two examples 23five + 14five and 234five + 312five, and then two more examples of your own choosing.
Focus on visual models and recording how you performed the tasks.
- 2) WB 3.1 (p57-59): 1-7 (started in class)
- Suggested Textbook Problems: TB 3.1: 1-17 all, 23, 28, 37 (for some of the numeration systems, you'll need to read section 3.1)
- Reading 2: Disequilibrium in the Classroom
Read By Tues Jan 18th
| Thurs, Jan 13th | |
| HW #4 |
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| HW #5 |
To Submit on Thursday, Jan 20th:
- WB 3.2, p66-72, #1-9 (#1 and 5 should be played. Nothing needs to be recorded for these two problems.)
- TB 3.1: Writing and Discussion p 141, #1
Also be working on:
- Reading 3: Alternate Algorithms
Read by Tues, Week 4
- Writing assignment will be posted
- Lots to digest in this reading, so start early and find a classmate to discuss the
algorithms with.
| Thurs, Jan 20th |
| HW #6 |
Will be updated shortly.
- Begin studying for next week's exam. Focus on alternate bases and visual models
for addition and subtraction. We will also be covering multiplication in class before the exam.
The content from TB 3.1 and 3.2 would be good to review. Also, brush up on the number properties
from your study guide and practice writing story problems for different models.
- Continue reading Alternate Algorithms. We are not quite ready to do
the write-up on this yet.
- If you have put off any of the "suggested textbook problems", now would be a good time to
try them. (Hint: Before the exam)
Actual homework for Tuesday:
- Perform the multiplication problem 23 x 41 very slowly (in base 10) using the method
you learned in elementary school. For
each and every step, indicate what you are doing and why. If you are uncertain how to explain
any particular part, please write a question (complete sentence) about that piece. Otherwise, explain
each step in complete sentences. Please avoid pronouns.
- bad example) Why do I put that number there? ("that", "there", and "it" are vague terms)
- good example) When I multiple the 4 by the 3 and get 12,
why do I put the 2 in the longs/tens column, but not the 12?
This question could take most of a page, as there are at least 7 steps in this problem.
Our in-class exploration of multiplication next class should help to bring light to
some of your questions.
| Tues, Jan 25th
| | HW #7 |
- WB: 3.3: 1, 3, 5, 6: Focus on connecting the 4 step partial products algorithm to the area model. This should
create a relational understanding for what has been an instrumental procedure.
- Suggested Problems: TB: Exercises and Problems 3.3 (p180): 5, 7-10, 13, 15-22, 42, 43, 52, 53
- Prepare for midterm
- Reading 3 is still postponed.
| Thurs, Jan 27th
| | Midterm 1 | Midterm 1 will be second half of class on Thurs, Jan 27th. There will be a take-home portion.
The focus of the midterm will be on place value and the operations of addition, subtraction, and
multiplication. Be prepared to use alternate bases and conceptual models for each operation.
The number properties are also likely to make an appearance.
The take-home portion will be due on Tues, Feb 1st.
Word version of Takehome test
PDF version of Takehome test
| Tues, Feb 1st |
| Office hours for Monday and Wednesday (Jan 31st and Feb 2nd) are canceled
due to doctors' visits. I will be around in the afternoons on Monday and Wednesday, as well as between
classes on Tuesday and Thursday, so send me an email if you'd like to set up an appointment. Or
you can send your questions via email and I can often answer them that way.
Sorry for the inconvenience.
| | Writing 3 |
- Reading 3: Alternate Algorithms , Writing Assignment:
Type a half page summary of the whole article. Then explore the following 2 alternate algorithms.
- Make sense of the addition algorithm on the bottom left of page 130, given by the example
87 + 65 + 49, from the woman of Japanese decent. Create an appropriate example to demonstrate this
algorithm. Explain the process used in the algorithm.
- Then explore the example of an alternate algorithm
for multiplication on page 132 (top left) presented with the example 46 x 37. Make sense of this algorithm
and then explain how to perform it with the numbers 28 x 47. If possible, try to connect this
algorithm with an image.
- Your summary should be typed, but it is acceptable to hand-write the alternate algorithm examples.
This write-up is due at the start of class on Thursday, Feb 3rd
- Additional homework will be posted for Thurs, Feb 3rd
| Thurs, Feb 3rd
| | HW #8 | - WB (p83-87) 3.4: 1-4
- (Suggested Textbook Problems) TB 3.4: 1-8, 13-14, 15-18, 21-24
| Thurs, Feb 3rd
| | HW #9 |
- In class we the groups created 4 different was of performing long division. Choose at least two
different ways to perform 6314 divided by 11. (sorry, the number 11 won't work well with Lyle, Usagi, Sonya's
method) This leaves the sharing model, measurement, and measurement via area model.
For each of the two methods you pick, show how to do all the steps to perform the division, and if there is a pencil
and paper algorithm, show how it connects to your steps. Words are important, not just visuals and symbols.
- Reading 4: The Trouble with Long Division : Read. Make sense of.
No writing required.
| HW #10 | Pending
| | | Rest of HW may be on a different website.
| | Final Exam | Final Exam
: Monday March 14th, 10:15-12:05 |
| | |