Goal: The goals this week are for you to
Resources
SMART
notebooks with manipulatives for base
10 blocks, base 5 blocks, Montessori stamp game stamps. Montessori checkerboard, and a
Montessori bead frame/abacus*, and
the
ALAbacus*.
Here is a site where
you can find printable
grid paper.
*Note
that if you want to show me what you did on these abacuses, you can't
just save the SMART Notebook, because the abacus is a Flash program
that is embedded in the notebook, and not a graphic. If you want
to
use this and show me a picture of what you did, you will
need to use some sort of screen capture device. The screen
capture
camera in the SMART Notebook toolbar works fine, as does the screen
capture built into Jing.
Some applets you might find useful: the base 10 blocks you can glue together and break apart; the site that has the buiilding with blocks applet, and the site with the array multiplication applet (Rectangle Multiplication)
Overview:
What we're going to be doing this week and next and why.
Assignments: Please scan as necessary, and put all
assignments in the dropbox.
Addition
Do first:
Do: Try it yourself
Watch: What do other people do?
Assignment: Write about it (submit to dropbox)
Alternate algorithms:
Watch:
Read:
The discussion of Children's Strategies for Addition (Textbook pg 133-136)
Assignment: Practice (do, scan, dropbox) July 27
Mental math:
Do and read: the Mental Addition exporation on page 131, and the discussion that follows (pg 131-133The standard algorithm:
Assignment: Practice: textbook pg 147 # 11. You should be using the mental addition strategies from the exploration and discussion on more than half of the problems. (scan or type, dropbox) July 27
Watch: modeling and making connections for the standard algorithmError patterns
Read: The textbook discussion p.137-139
Assignment: Show how to model and make connections for the standard algorithm (video assignment: do, save, put the link in a word document and dropbox it). July 27 Guidelines for presenting explanations
Watch: addition error patterns
Very Optional Reading: I highly reccommend the book "Error Patterns in Computation" by Robert B Ashlock. I have stolen most of my ideas and examples from this book.
Assignment: Do the assignment "addition error patterns and algorithms" on D2L->content->assignments. (print, do, scan, dropbox) July 27
Subtraction
Do first:
Do: Try it yourself
Watch: What do other people do? Separate subtraction
solutions; compare subtraction solutions take 1, take 2.
Assignment: Write about it, and do some base 5 calculations (Print, do, scan, dropbox) July 28
Alternate algorithms:
Watch:
Equal Additions Algorithm
Left to right algorithms: negative numbers and a variation on the standard algorithm
Read:
Textbook (Bassarear): read Childrens Strategies for Subtraction pgs 153-155
An Alternative Algorithm pgs 157-158
Assignment: Practice (scan, dropbox) July 28
Teaching with invented algorithms, and
childrens strategies for subtraction
Tip: print the assignment for this
section before watching the video, so you know what to watch for.
Watch: Negative numbers and subtracting:
watch this class figure out a way to
use negative numbers for 2-digit subtraction. At the site http://learner.org/resources/series32.html
Watch #15: Bean Sprouts (note: this is a long video. If you have
a slow connection or a slow computer, you might want to pause it and
let it download for a while before you start watching).
Read: Two articles in
D2L->Content->Readings
Assignment: Questions about the Video and Readings (either type into the document, or hand-write your answers and scan. If you are planning to print it out and then hand-write onto it, you should add in a lot of spaces before you print it--I have not left writing space. Dropbox) July 28
Mental math and open number lines:
Do: Try these
Watch: Some mental subtraction strategies
Read the mental subtraction discussion n the textbook (pgs 151-152)
Assignment: Practice July 28