Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Making sense of open ended question... by Obsurvey.com 509 views
- Open ended questions 4-18 by naughtonkyle 3082 views
- PSSA Math Terms by Marta O'Brien 426 views
- Didactica critica by Rosaisela89 292 views
- How Payday Loans Online Helpful To ... by Payday Bucket 76 views
- How Can Open-Ended Questions Get Ch... by Khanthaly Linthak... 55 views

No Downloads

Total views

4,693

On SlideShare

0

From Embeds

0

Number of Embeds

1,149

Shares

0

Downloads

0

Comments

0

Likes

1

No embeds

No notes for slide

- 1. Open-Ended Questions in Math
- 2. What Is an Open-Ended Item? <ul><li>An open-ended math item asks students to solve a multi-step problem and explain WHY they chose each step . </li></ul>
- 3. PSSA <ul><li>Each student has 4 open ended items on the PSSA </li></ul><ul><ul><li>3 on the common form </li></ul></ul><ul><ul><li>1 on the matrix form </li></ul></ul>
- 4. PSSA <ul><li>Each open-ended item has a maximum value of 5 points. </li></ul><ul><li>Therefore, open-ended items account for approximately 18% of the student’s PSSA score. </li></ul><ul><li>Responses to open-ended items are graded using a rubric. </li></ul>
- 5. The PSSA Rubric <ul><li>To earn all 5 points, students need to show each step of their work, and explain WHY they chose each of their steps. </li></ul><ul><li>They can earn at least 1 point by showing a correct step toward solving the problem. </li></ul>
- 6. Calculator Usage <ul><li>Calculators can be used for all open-ended items on the PSSA </li></ul><ul><li>Students need to be familiar with using the specific calculator before the test! </li></ul>
- 7. The Directions <ul><li>For full credit, you must do the following: </li></ul><ul><li>Show OR describe each step of your work, even if you did it in your head (“mental math”) or used a calculator, </li></ul><ul><li>Write an explanation stating the mathematical reason(s) why you chose each of your steps. </li></ul>
- 8. Tips for Solving from Teachers <ul><li>Make 2 columns </li></ul><ul><ul><li>Put “work” on the left </li></ul></ul><ul><ul><li>Put “explanation” on the right </li></ul></ul>work explanation
- 9. Solving Tips from Teachers <ul><li>Show and number each step of the work </li></ul><ul><ul><li>Even/especially if the work was done in the student’s head or calculator. </li></ul></ul>
- 10. Explanation Tips <ul><li>Encourage students to EXPLAIN their work - not DESCRIBE it </li></ul><ul><ul><li>Description: </li></ul></ul><ul><ul><li>“ I multiplied $1.25 and 13 and got $16.25” </li></ul></ul><ul><ul><li>Explanation </li></ul></ul><ul><ul><li>“ I multiplied the price of gas per gallon and the number of gallons to get the price for the gas used.” </li></ul></ul>
- 11. Explanation Tips from Teachers <ul><li>Make sure ALL steps are explained in words. </li></ul><ul><li>Encourage students not to use numbers in their explanations – this will stop them from describing their work. </li></ul>
- 12. Explanation Tips from Teachers <ul><li>Use “magic words”* in the explanation. </li></ul><ul><li>These are words that gear students to ‘explain’ their work rather than ‘describe’ it. </li></ul><ul><li>* Article on “Magic Words” can be found in the math assessment handbook </li></ul>
- 13. What are the Magic Words? <ul><li>To find </li></ul><ul><li>To get </li></ul><ul><li>To see </li></ul><ul><li>To figure out </li></ul><ul><li>To show </li></ul><ul><li>To determine </li></ul><ul><li>Because </li></ul><ul><li>Since </li></ul><ul><li>Therefore……. </li></ul>
- 14. Explanation Tips from Teachers <ul><li>Encourage your students </li></ul><ul><li>NOT to use the words </li></ul><ul><li>“ to find THE ANSWER” </li></ul><ul><li>The words “the answer” do not explain what the answer represents. </li></ul>
- 15. The Explanation <ul><li>1) I multiplied the price of gas and the number of gallons TO GET the total cost of gas. </li></ul><ul><li>2) I added the cost of gas, food and tolls together TO FIND the total cost of the trip. </li></ul><ul><li>3) I divided the total cost of the trip by the number of miles and I FOUND the cost per mile. </li></ul><ul><li>4) SINCE I had many decimal places, I rounded to the hundredth BECAUSE I wanted money. </li></ul>
- 16. The Final Product <ul><li>Work </li></ul><ul><li>1) $1.25 X 13 gal = $16.25 </li></ul><ul><li>2) $16.25 + $12.84 + $6.50 </li></ul><ul><li>= $35.59 </li></ul><ul><li>3) $35.59 221mi $0.161041 </li></ul><ul><li>4) $0.16 per mile </li></ul><ul><li>Explanation </li></ul><ul><li>1) I multiplied the price of gas and the number of gallons TO GET the total cost of gas. </li></ul><ul><li>2) I added the cost of gas, food and tolls together TO FIND the total cost of the trip. </li></ul><ul><li>3) I divided the total cost of the trip by the number of miles and I FOUND the cost per mile. </li></ul><ul><li>4) SINCE I had many decimal places, I rounded to the hundredth BECAUSE I wanted money . </li></ul>

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment