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# Foundations in Number: Teachers PreK – Grade 2 PowerPoint PPT Presentation

Foundations in Number: Teachers PreK – Grade 2. Offered by: Looney Math Consulting www.looneymathconsulting.com looneyconsulting@comcast.net. The “Big Ideas” of Foundations of Number. Children must develop a solid foundation in understanding of number concepts.

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## Foundations in Number: Teachers PreK – Grade 2

Offered by: Looney Math Consulting

www.looneymathconsulting.com

looneyconsulting@comcast.net

### The “Big Ideas” of Foundations of Number

• Children must develop a solid foundation in understanding of number concepts.

• Classroom activities must develop conceptual understanding of key ideas.

• Assessments must uncover misconceptions and misunderstandings.

• Results of key assessments must inform future instruction.

### Number Concepts: Trusting the Count

• Subitize

• Visualization of numbers

• Number sequence to 20

• Cardinal meaning of numbers

• Ordinal numbers

• Comparisons of sets

### Additive Thinking

• Part-part-whole understanding of numbers

• Informal addition and subtraction with models

• Story problems for addition and subtraction

• Fact families and Strategies for learning basic facts

• Multi-digit computation

### Place Value

• Structure of base-10 number system

• Visual Models to read, write and compare 3-digit numbers

• Mentally compute + / -

### What will educators learn from the course Foundations in Number?

Educators (both regular and special ed) will:

• enhance their own mathematics knowledge in the area of early numeracy: counting, place value, and additive thinking

• better understand why children struggle understanding number concepts and will learn how to move children forward.

• create and interpret assessment tasks for common misconceptions and implement targeted intervention plans.

• learn how to integrate the use of technology in their classrooms.

• gain comfort with wide-range of strategies and tools for teaching concepts including the use of visual models and manipulatives .

### A Day in Foundations in Number …….

• Workshops with stations of models, manipulatives, games, and conceptual tasks

• Powerpoint presentations providing foundational knowledge

• Discussions of research based articles

• Utilization of related technology and web-based resources

• Analysis of video-clips of student interviews

### Details:

• Staff: Taught by highly qualified teams of 3

• Hours: 40 hours face-to-face instruction / 20 hours on-line (5 face-to-face days)

• PDPs: 67.5 for course completion / 90 if taken for graduate credit

• Graduate Credits: 4 available through Endicott College for \$240

### On-line Component

• Participants required to obtain MassONE ID from district technology coordinator prior to the start of class

• Use of technology integrated throughout the course in a supportive environment

On-line Assignments include:

• Readings

• Web-based activities

• Discussion forums

### Sample On-line Session

Session 2: Exploring Counting

Read the following articles:

1. Baek, J. (2005). How Does it Feel? Teachers count on the alphabet instead of numbers. Teaching Children Mathematics, 54-59.

2. Losq, C. (2005). Number concepts and special needs students: The power of ten frame tiles. Teaching Children Mathematics, 310-316.

Explore the following websites:

1. http://aussieteachers.com/aussieteachers/early-stage-1/54-early-numeracy-games

2. http://illuminations.nctm.org/LessonDetail.aspx?ID=U147

Answer this discussion prompt:

The article by Baek reminds us of a similar in-class activity where we experienced the complexities of learning a counting system. Please post a story of working with a student who exhibits some of the difficulties highlighted in their experience and in the article OR comment on your experience with this activity.

### Resources to share back with district:

Workshop

Reference List

Alignment to textbook and standards

Assessments

Common Misconceptions / student work

Technology

### Questions?

Please contact:

Dr. Susan Looney

Looney Math Consulting

looneyconsulting@comcast.net