A T H R E E - S T E P P R O G RA M TH AT H ELPS S TU DE NTS CONNECT T HE B IG IDEAS IN

M ATH EM AT ICS

D E V E LO PM E N TA L R E A D I N E S S

Some students arrive inkindergarten and first grade without having the necessary foundation for math instruction.

0 25 50 75 100

100

100

85

72

64

96

92

93

79

24

38

18

At Risk Not at Risk

Have a candy. Here are 2 more. How many do you have?

Which pile has more?(Show two piles of chips)

How many triangles are there?(Show mixed array)

If you had 4 candies and received 3 more, how many would you have?

What comes two numbers after 7?

Which number is bigger/smaller?(Show two arabic digits)

Robbie Case & Sharon Griffin

Number Knowledge Test

M E M O R I Z AT I O N OV E R U N D E R S TA N D I N G

Some students move forward in the early grades only by using counting and memorization strategies.

C U R R I C U LU M B E C O M E S M O R E C O M P L E X

As the curriculum becomes more complex, the memorization strategies are not effective.

11 = 5 + ?

2.48 x 3

What is 1/3 of 2,400?

G RA D E 4 I N T E R N AT I O N A L T E S T

Top Achiev-ing Countries

US0%

25%

50%

75%

100%

1

0

Percent Correct

“There are 600 balls in a box, and 1/3 of the balls are red.

How many red balls are in the box?”

– E A R LY P R E D I C TO R S O F H I G H S C H O O L M ATH E M AT I C S AC H I E V E M E N T: S I E G L E R E T A L . , 20 12

“Elementary school students’ knowledge of fractions and division uniquely predicts their

high school mathematics achievement.”

F RAC T I O N S C O M B I N E M U LT I P L E ‘ B I G I D E A S ’ T H AT M A K E T H E M D I F F I C U LT

T H E PA RT S A R E OF

E QU AL S I ZE

T H E R E A R E A S P E C I F I C

N U M B E R O F PA RT S

T H E W H O L E I S D I V I D E D

T H E PA RT S E QU AL T H E

W H OL E

• “Find the common denominator, then add”

• “Flip it and multiply”

• “The bigger the denominator the smaller the

fraction”

The complexity of fractions make it more likely that students will forget that fractions represent quantities.

This leads to memorization without understanding.

MA NY S T U D E NT S AR E NOT D E V E LOP I NG T H E F OU NDAT I ON T H E Y NE E D F OR LONG -T E R M S U CCE S S I N MAT H E MAT I CS .

OUTC OM ES

S YM P HON Y M AT H V 7

“Effective teaching of mathematics engages students in making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving.”

— Principles to Actions, NCTM, 2014

A T H R E E - S T E P P R O G RA M TH AT H ELPS S TU DE NTS CONNECT T HE B IG IDEAS IN

M ATH EM AT ICS

T H R E E S Y M P H ON Y M AT H T O O L S

Screener

Quickly and accurately identifies

at-risk students

Benchmarker

Confirms at-risk status and

provides benchmarking data over the course of the

year

Instruction

Intensive in-depth

intervention on foundational

concepts & skills

1 | S C R E E N E R

• Designed for Young Students

• Large Controls

• Narration of Text

• Carefully Designed Test Items

• Group Administration

I N S TA N T D E L I V E RY , I N S TA N T R E S U LT S

• Self-administered

• Fully Integrated

• K-8

• Fall, Winter, Spring Administrations

• Instant Reports

2 | B E N C H M A R K E R

• Combined with Screener

• 20-Minute Average Test Time

• Multiple Correct, Plot Coordinates, Match Solutions, Fluency, etc.

I N S TA N T D E L I V E RY , I N S TA N T R E S U LT S

• Fully Integrated

• Standard Score

• Percentile Rank

• Student Growth Scores

I T S TAFF TEAC HE R S S TU DE NTS

J U LY I MPO RT R OS T E R

A U G U S T MA I N TA I N R O S T E R A S N E E D E D

V I E W A S S E S S ME NT R E PO RT S FA L L T E S T I NG

S E PT E MB E R-NOV E MB E R

B I -WE E KLY DATA R E V I E WS

I NS T R U C T I O N 45+ M I N U T E S PE R

W E E K

D E C E MB E R V I E W A S S E S S ME NT R E PO RT S W I NT E R T E S T I NG

JA NU A RY-A PR I L B I -WE E KLY DATA R E V I E WS

I NS T R U C T I O N 45+ M I N U T E S PE R

W E E K

MAY V I E W A S S E S S ME NT R E PO RT S S PR I NG T E S T I NG

3 | I N S TR U C T I O N

• Multiple Representations

• Multiple ‘Ways of Knowing’

• Adaptive Branching

• Fluency Program Built In

U S E A N D C O N N E C T M AT H E M AT I C A L R E P R E S E N TAT I O N S

Principles to Actions, NCTM, 2014

Physical

Visual

Symbolic

VerbalContextual

I N T E G RAT E D F LU E N CY P R O G RA M

B U I L D P R O C E D U RA L F LU E N CY F R O M C O N C E P T U A L U N D E R S TAN D I N G

S UP P ORT P R OD UC T I V E S T R UG G LE I N LEA R N I N G M ATHEM AT I C S

I ND I V I DUAL I ZE D I NST R UCT I O N W I T H TASK ‘B LO CKS ’

• Placement Blocks

• Allow Students to Bypass material they have clearly mastered

• Skill Blocks

• Students Concentrate on specific skills in a Stage

• Focus Blocks

• Leveled material that provides exposure to skills that need extra practice

S T U D E N T 1 : FA S T- M OV E RPla

cem

ent

Ski

ll

S T U D E N T 2 : S LO W A N D S T E A DYSki

llFo

cus

S UP P ORT P R OD UC T I V E S T R UG G LE I N LEA R N I N G M ATHEM AT I C S

EXTRA PRACT I CE M ATER I ALS COVER ENT I R E SCOPE AND SEQU ENCE

FAC I L I TATE M EA N I N G F UL M ATHEM AT I C A L D I S C OUR S E

I N S TA N T V I E W S O F “ T H R E E S T E P P R O G RA M ” DATA

DA S HBOA R D A N D M ULT I P LE R EP ORT S

Task Preview

‘ E XT E N S I O N S ’ AVA I L A BL E F O R E V E RY S Y M PH O N Y M AT H S TAG E

EL I C I T A N D US E EV I D EN C E OF S T UD EN T TH I N K I N G

I T S TAFF TEAC HE R S S TU DE NTS

J U LY I MPO RT R OS T E R

A U G U S T MA I N TA I N R O S T E R A S N E E D E D

V I E W A S S E S S ME NT R E PO RT S FA L L T E S T I NG

S E PT E MB E R-NOV E MB E R

B I -WE E KLY DATA R E V I E WS

I NS T R U C T I O N 45+ M I N U T E S PE R

W E E K

D E C E MB E R V I E W A S S E S S ME NT R E PO RT S W I NT E R T E S T I NG

JA NU A RY-A PR I L B I -WE E KLY DATA R E V I E WS

I NS T R U C T I O N 45+ M I N U T E S PE R

W E E K

MAY V I E W A S S E S S ME NT R E PO RT S S PR I NG T E S T I NG

S YM P HON Y M AT H V 7

• No Install

• K-8 Assessment, K-4 Instruction

• Adaptive branching customizes program for every student

• Concepts AND Fluency

• Spanish Instructions

• Use at School or at Home

• Offline materials