CREATING MATHEMATICAL
THINKERS
GRADES 3-5
LET’S FACE IT
• MAFS documents have made our professional lives
much more challenging.
• No surprise that many teachers of mathematics are
frustrated and feel thoroughly pressured.
• Texts aren’t giving us everything that we need.
• New assessments are currently being developed for the
Spring 2015?
• What do we do now?
GOALS
Engage you in conversation thinking about
what we teach, how we teach, and how
much they learn by:
 Validating your concerns
 Examining the MAFS and FSA assessment documents
 Give you some tools and ideas for making math more accessible
to our students
 Resources to check out for instruction and assessment
FSA 2014-2015
The MAFS provides us
an opportunity to
refocus and make
improvements in our
mathematics
education and that
can only benefit our
students and their
future.
TESTING INFORMATION
Grades 3 and 4 MATH is a paper/ pencil
format this year.
Grade 5 will be computer based.
Grades 3 and 4 will work out their problems
in the test booklet.
Grade 5 will have a work folder for students
to use to work out their problems.
TIMING
Grades 3-5 will have 2 math sessions of 80 minutes
each totaling 160 minutes.
A break is provided midway through the session.
There will be a total of 60-64 questions for grades
3,4, and 5.
Once a student has finalized and submitted a
session, they cannot go back.
PAPER-BASED TESTING FOR GRADES
3–4
 Grade 3: Multiple choice and Multi – Select
 There will be no gridded selections for Grade 3.
 Grade 4: Multiple choice, Multi – Select and gridded response items.
 Paper – based tests for third and fourth grade students will include 3-4
technology enhanced items that students will need to write their
answers. These will be hand scored. This is to get students ready for
the computer based test in the future.
COMPUTER – BASED TESTING
Grade 5 will have a computer based
assessment.
See reference sheet.
at least 5 choices
however could be 6 or 7
choices for students to look at
Grade 3
days.
GRADE 4
SAMPLES
GRADE 5
SAMPLES
Equation Items
In Grades 3 and 4 there will be a few
simulated technology enhanced
items to give students experiences to
begin preparation for CBT.
www.FLDOE.org
© 2014, Florida Department of Education. All Rights Reserved.
Equation Items – Types of Responses
•
Equivalent fractions and decimals will be accepted,
except in items that are assessing a standard where a
certain form is the expectation of the standard.
A zero in the ones place for answers that fall between
-1 and 1 (excluding 0 itself) is not required.
Students can type in an answer using a mixed number
or an improper fraction.
www.FLDOE.org
© 2014, Florida Department of Education. All Rights Reserved.
Elementary example
In Hot Spot items, students will be able
to click to produce points, lines, angles,
etc. In this example, students are able to
represent quantities in a bar graph.
www.FLDOE.org
© 2014, Florida Department of Education. All Rights Reserved.
New test item specifications will be
updated with this wording OpenResponse Items. Currently this is called
Natural Response Item.
Elementary example
In Natural Language items, students are
able to provide descriptive responses in
word form.
www.FLDOE.org
© 2014, Florida Department of Education. All Rights Reserved.
WHAT CAN WE DO?
 Establish mathematics goals to focus learning.
 Implement tasks that promote reasoning and
problem solving.
 Use and connect mathematical representations.
 Facilitate meaningful mathematical discourse.
 Pose purposeful questions.
 Build procedural fluency from conceptual
understanding.
 Support productive struggle in learning mathematics.
 Elicit and use evidence of student thinking.
STRATEGY 1
Adapt from what we know about reading:
Ask Questions
Example:
1.
2.
3.
4.
5.
6.
7.
What is 6X7
What number is 1000 less than 18,294?
About how much is 0.32 and 0.29?
Draw a picture of 1 2/3?
How much bigger is 9 than 5?
What number is the same as 5tens and 7ones?
What number is 10 less than 83?
STRATEGY 2
Incorporate on-going cumulative review into
instruction every day.




Problem of the Day.
Number Talks
Mental Math
Fluency Drills (Oral and/or written)
One of the most effective strategies for fostering mastery and retention
of critical skills is daily, cumulative review at the beginning of every
lesson.
STRATEGY 3
Draw pictures
Create mental images
Foster visualization
STRATEGY 4
Create a language rich
classroom.
(vocabulary, terms, answers,
explanations)
Math must be encountered orally and in writing. Like all vocabulary,
mathematical terms must be used again and again in context and liked
to more familiar words until they become internalized.
Example:
perimeter = border, area = covering
STRATEGY 5
Embed the mathematics in
contexts;
Present the mathematics as
problem situations.
Here is the math I need to teach. When and where do normal human
beings encounter this math?
LAST AND MOST POWERFUL
Make “ Why?”
“How do you know?”
“Convince me”
“Explain that please”
These are your new classroom mantras
RESOURCES
THIRD GRADE
http://www.fsassessments.org/
http://www.k-5mathteachingresources.com/multiplication-and-divisionactivities.html
http://www.mathwire.com/problemsolving/probs34.html
https://drive.google.com/a/bay.k12.fl.us/folderview?id=0Bw0IvglsHHrU
eUtXcWpxN1MwNTQ&usp=sharing
www.illustrativemathematics.org/illustrations/365
http://www.lake.k12.fl.us/cms/lib05/FL01000799/Centricity/Domain/17/Eleme
ntary%20Math%20Curriculum%20Blueprints%2020142015/3rd%20Grade/3rd%20Grade%20Scope%20and%20Sequence.pdf
https://www.engageny.org/resource/new-york-state-common-coresample-questions
http://maccss.ncdpi.wikispaces.net/Third+Grade
http://www.debbiewaggoner.com/elementary-grades-k-5.html
http://www.hawaiipublicschools.org/DOE%20Forms/Testing/MathGrade3Sa
mpleItems.pdf
Resources
Fourth Grade
www.fsassessments.org
http://www.k-5mathteachingresources.com/4th-grade-numberactivities.html
http://mathwire.com/
https://drive.google.com/a/bay.k12.fl.us/folderview?id=0Bw0IvglsHHrUeUtX
cWpxN1MwNTQ&usp=sharing
http://www.lake.k12.fl.us/cms/lib05/FL01000799/Centricity/Domain/17/Eleme
ntary%20Math%20Curriculum%20Blueprints%2020142015/4th%20Grade/4th%20Grade%20Scope%20and%20Sequence.pdf
https://www.illustrativemathematics.org/illustrations/1809
https://www.engageny.org/resource/new-york-state-common-coresample-questions
http://maccss.ncdpi.wikispaces.net/Fourth+Grade
https://grade4commoncoremath.wikispaces.hcpss.org/home
sbac.portal.airast.org/wp-content/uploads/2013/08/G4_Practice-TestScoring-Guide-5.14.14-Final.pdf
www.learn-with-math-games.com/multiplying-and-dividing-fractions.html
http://www.mathsisfun.com/games/games-2.html
Resources
Fifth Grade
http://www.fsassessments.org/
http://www.k-5mathteachingresources.com/5th-grade-numberactivities.html
http://mathwire.com/problemsolving/probs58.html
https://drive.google.com/a/bay.k12.fl.us/folderview?id=0Bw0IvglsHHrUeUt
XcWpxN1MwNTQ&usp=sharing
https://www.illustrativemathematics.org/standards/k8
http://www.lake.k12.fl.us/cms/lib05/FL01000799/Centricity/Domain/17/Elem
entary%20Math%20Curriculum%20Blueprints%2020142015/5th%20Grade/5th%20Grade%20Scope%20and%20Sequence.pdf
https://www.engageny.org/resource/new-york-state-common-coresample-questions
http://maccss.ncdpi.wikispaces.net/Fifth+Grade
https://grade5commoncoremath.wikispaces.hcpss.org/home
http://www.hawaiipublicschools.org/DOE%20Forms/Testing/MathGrade5S
ampleItems.pdf
http://www.learn-with-math-games.com/free-math-games-for-kids.html
http://www.mathsisfun.com/games/games-2.html