**CURRICULUM**

BY:

Lindsey Randa

Hannah Hawkins

Brandon Oney

Megan Gilene

Singapore Math and Finnish Curriculum

**What is Curriculum?**

"the courses offered by an educational institution"

Websters, 2013

Standards vs. Curriculum

Standards

- expectations, what is to be learned

decision made at the state level.

Curriculum

- Program to designed to teach the standards,

decision made on local level

Example: Standard- "students should know 2+2=4

Curriculum- " Here is how we are going to teach the student that 2+2=4"

Bentley, M. L., Christine, E., & Edward S., E. I. (2013, July 19). Curriculum definition . Retrieved from http://www.education.com/reference/article/curriculum-definition/

**Why do we have Curriculum?**

concrete

engages students in hands on learning using objects such as paper clips or dice

pictorial

in the pictorial stage, students draw pictures (most commonly "bar models") to help them visualize the problems they're solving

abstract

the abstract step involves students solving math problems in a more "abstract" way using more numbers and symbols

Singapore Math

they go over fewer topics but cover these topics in greater detail

three-step process

concrete, pictorial and abstract

Finnish Curriculum

from a young age Finnish students are taught math in ways similar to the concrete stage used in Singapore Math

"It's a different way of conceptualizing math when you do it this way instead of using pen and paper, and it goes straight to the brain," says Veli-Matti Harjula (3rd through 6th grade teacher in Finland)

**Curriculum in the U.S.**

the main focus in Finland's schools is not simply mastering material but learning how to learn

Finnish students also learn a multitude of subjects through the study of nature and life

Finland also has one of the shortest school days. They believe that this allows their students to focus more because they are in school for a shorter amount of time

New Math

TYPICAL LONG DIVISION METHOD

VS

SINGAPORE LONG DIVISION METHOD

Ohio Math Curriculum

Curriculum

Ohio educators write the math model curriculum to support learning standards

In October 2013 standards were changed for third grade math such as

Make sense of a problem and persereve in solving them

Reason abstractly and quantitatively

Use appropriate tools strategically

The purpose of the new curriculum document is to provide instruction strategies and resources of the teachers.

http://education.ohio.gov/Topics/Academic-Content-Standards/Mathematics

http://www.aimsedu.org/item/P-1550/3rd-Grade-Math-Practices/1.html

Saxon Math

*involves teaching a new mathematical concept every day and constantly reviewing old concept

*after the Sputnik crisis in order to boost science education and mathematical skill in the population so that the perceived intellectual threat of Soviet engineers, reputedly highly skilled mathematicians, could be met.

* American schools began to use textbooks based on set theory

*process of solving an algebraic equation required a parallel account of axioms in use for equation transformation.

*Binary numbers and duodecimals were new math to the students and their parents.

*Teaching Cramer's rule for solving linear equations, then new math may include matrix multiplication to introduce linear algebra.

*Communitative property

Aims Math

Incremental:

Students have time to understand and practice the lesson

Distributed:

Students have time to practice and master previous concepts

Cumulative:

Students are ready for high stakes assessments

Campbell, K. (2013, June 3). Common core fact of the day: Standards v. curriculum - see more at. Retrieved from http://excelined.org/2013/06/common-core-fact-of-the-day-standards-v-curriculum/