Quantiles

Quantiles

What are they and why should I care?

Workshop Objectives:

• What is the Quantile Framework?• What does a Quantile measure mean?• How can it be used in the classroom?• Free suite of online tools at

Quantiles.com

Bringing Meaning to Measurement

What is the Quantile Framework?

The Quantile Framework is NOT:

• An indicator of mastery or a test score

• A list of mathematics skills

• A curriculum for mathematics or a math program

• Grade equivalent

•Uses a common, developmental scale to measure student mathematical achievement, the difficulty of mathematical skills and concepts, and the materials for teaching mathematics.•Predict readiness.•Match students to appropriate materials at their level.•Forecast student performance on the end of year test.

Quantile Framework for Mathematics

The Quantile Framework

Is like a “gauge” or “yardstick”---it’s way to measure the development of:– Students’ mathematical knowledge,

and– Difficulty of math skills and topics

Quantile Framework Taxonomy

• What is a Q-Taxon?– Mathematical skill or concept.

• Where does the list of Q-Taxons come from?– National Council of Teachers of Mathematics

(NCTM)– TIMSS– State curriculums

• How are the strands determined? Content Strands from NCTM and other states

The QuantileFramework

The Measure of a Skill or Concept in Mathematics

The Value of Skill Demand

Solve problems involving elapsed time.

Use a coordinate grid to solve problems. Describe the path between given points on the plane.

Divide using single-digit divisors, with and without remainders.

•What does each skill mean?•In which grade is the skill introduced?•Which content strand does each skill come from?

The Value of Skill Demand

Solve problems involving elapsed time.

Use a coordinate grid to solve problems. Describe the path between given points on the plane.

Divide using single-digit divisors, with and without remainders.

•Which skill is most difficult?

The Value of Skill Demand

Solve problems involving elapsed time. 450Q

Use a coordinate grid to solve problems. Describe the path between given points on the plane. 480Q

Divide using single-digit divisors, with and without remainders. 450Q

•Which skill is most difficult?

The QuantileFramework

The Student Measure for Mathematics

Using the Quantile Framework

• Determines readiness

• Informs instruction

• Forecasts performance on high stakes tests

A Single Measure

The content strands are so intertwined that only one measure is necessary.

Kindergarten – Third Grade Teachers

• Quickly and easily does math at his/her grade level.

• Does math at his/her grade level fairly well, but must work hard on some topics.

• Struggles with math at his/her grade level.

• “Quantile measures have confirmed what educators have known for some time now: the range of mathematics ability is large within each classroom. In order for teachers to provide effective instruction for diverse classroom populations, instruction must be assessment driven and differentiated.”

Grade Name Quantile Measure5 Corey 14155 Lauryn 14155 Ashleigh 11205 Lee 10355 Ellen 10355 Henry 9805 Kaleb 9405 Destiny 9055 Infiniti 9055 Victoria 8755 Dustin 8505 Crystal 8005 Taquashia 7805 Portia 7805 Carlos 7555 Clifford 6905 Diana 6705 Tony 6055 Aliyah 5805 Orinthius 5605 Kyanna 5605 Je Ree 5355 Blake 4685 Caroline 450

http://www.quantiles.com

Let’s Give It a Try!

• Select one of the student cards.• Use the Quantile website to answer the

questions on the card to help guide classroom instruction.

Workshop Objectives:

• What is the Quantile Framework?• What does a Quantile measure mean?• How can it be used in the classroom?• Free suite of online tools at

Quantiles.com

Title I Directors' Conference - March 10, 2009

Contact Information

John Ford, CoordinatorTitle I, Mathematics

jford@access.k12.wv.us

Lynn Baker, CoordinatorOffice of Instruction

lhbaker@access.k12.wv.us