Early Learning » Numeracy

Numeracy

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Numeracy for the 21st Century
 
Pro D
 
Numeracy for the 21st century is an evolving journey that engages learners in joyful learning while centering Indigenous worldviews. A future-focused numeracy landscape engages learners in authentic, meaningful work that is personalized and focuses on connection to land, culture, and real world applications. Human flourishing now and in the future requires that students are equipped to navigate in and contribute to our rapidly changing digital world.
 
 
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Defining Numeracy

10Numeracy is the ability to understand and work with numbers. Numerically competent students see themselves as mathematicians and demonstrate:

 

  • Conceptual understanding
  • Procedural fluency
  • Strategic competence
  • Adaptive reasoning
  • Productive dispositions
 

 

Educators support children in developing positive habits of mind:

 

  • Persevering and using mathematics to solve problems in everyday life
  • Recognizing that there are multiple ways to solve a problem
  • Demonstrating respect for diversity in approaches to solving problems
  • Choosing and using appropriate strategies and tools
  • Pursuing accuracy in problem solving
 
Numeracy is embedded in all areas of learning. Educators are designers of curriculum who meet children where they are at. Children develop numeracy skills along a continuum. There is no single way to teach numeracy skills in a way that is relevant and meaningful to children. There is choice in the ways in which teachers create lessons, units, inquiries, and learning experiences. The open design lends itself to cross-curricular and holistic learning.

 

The B.C. Mathematics curriculum is designed to engage children in:

  • Using math skills.
  • Developing a deeper understanding of the world around them.
  • Using numerate thinking and communication skills to solve problems.
  • The capacity to engage fully as numerate and responsible citizens in a digital age.
 

"Numeracy is the ability to understand and apply mathematical concepts, processes,

and skills to solve problems in various contexts."

 

- B.C. Ministry of Education and Child Care

 

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Balanced Numeracy

Numeracy learning is both a foundation and a process. We have learned that a balanced approach to numeracy is the best way to support learners in an ever-changing world. 

 

Balanced numeracy places equal value on:

 

  • Learning as a foundation involving the teaching of foundational numeracy skills
  • Learning as a process involving the experiences of inquiry, exploration, and play

 

Effective numeracy instruction integrates research-based practices with adaptive teacher expertise. This might involve making use of aspects of a prescribed program while finding ways to personalize, adjust, and extend in response to individual, group, and whole class dynamics. 

 

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Learning as a Foundationmath

 

Early years numeracy development focuses on number sense to enable children to:

  • Connect
  • Interpret 
  • Analyze
  • Apply
  • Transfer
  • Solve
  • Communicate
 

Foundational number sense skills support students as they develop as numeracy learners.  

Number sequence

Number sequence is a list of numbers linked by a rule. Determining the next numbers in the sequence required figuring out the rule. 

One-to-one correspondence

One-to-one correspondence is the ability to count groups of objects one at a time, only counting each object once.

Cardinality

Cardinality is understanding that the last number counted represents how many there are in total.

Conservation

Conservation is the understanding that the quantity stays the same even when rearranged.

Symbolic magnitude understanding

Symbolic magnitude understanding is the ordering and comparing of written numerals and number words.

Subitizing 

Subitizing is the ability to look at a small set of objects and automatically know how many there are in total.

Estimating

Estimating is an educated guess about a quantity based on existing knowledge.

Place Value

Place value is the value of each digit in a number based on it's position.

Connecting numeral to quantity

Connecting numeral to quantity is the understanding that numbers represent specific amounts.

Skip counting

Skip counting is a way of counting forward or backward by a number other than 1. The same amount is skipped each time.

Decomposition and composition

Decomposition is the ability to break numbers down into parts. Composition is the ability to put them back together again.

Flexible counting strategies

Flexible counting strategies involve students using different methods to count objects and solve problems in a variety of ways.

 

Student-centered mathematics foundations by John Van de Walle support us in understanding four key ideas of effective mathematics teaching:

 

  • Hands-on learning
  • Problem-solving
  • Exploring big ideas
  • Formative assessment
 

"Decisions in life are so often based on numerical information;

to make the best choices, we need to be numerate."

 

- Andreas Schleicher

 
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Learning as a Process

 

Inquiry, exploration, and play are essential social and experiential learning opportunities that enable students to take risks and try new things as they develop their numeracy skills. 

 

Inquiry

Ideas are explored through questions, provocations, investigations, and representations. Inquiry involves solving problems, seeking opportunities, accessing resources, or trying something new. Inquiries have no preset outcomes but emerge organically as children and adults think alongside one another.

Exploration

An intentionally set-up environment and materials provoke interest and curiosity and invite children to engage in hands-on learning, often alongside peers. Rich exploration design affords children opportunities to observe, analyze, experiment, innovate, create, and discover.

Free Play and Play-Based Learning

Free play is a self-chosen and self or peer-directed activity that is focused on the process and not the product. Play-based learning includes child-directed, teacher-guided, and teacher-directed play. Play engages children in active, imaginative opportunities and experiences.

 

Research by Stuart Brown (2009) and Peter Gray (2013) support us in understanding the importance of the connection between play and:

 

  • Numeracy learning
  • Human brain development
  • Social and emotional development
  • Overall wellbeing
 
Carole Fullerton

"Numeracy understandings grow naturally from students' explorations."

 

- Carole Fullerton

 

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Early Numeracy Project
 

early numeracy project

 

The Early Numeracy Project was designed in response to the Truth and Reconciliation Calls to Action and was initially focused on supporting the numeracy development of Indigenous children in our district. A key component of this project is the decolonization of math instruction and learning.

 

This project is informed by the First Peoples Principles of Learning:

 

  • Learning is holistic, reflexive, reflective, experiential and relational (focused on connectedness, on reciprocal relationships, and a sense of place)
  • Learning is embedded in memory, history, and story
  • Learning involves patience and time
  • Learning requires exploration of one's identity
 
Initial assessments inform instructional planning. Lessons begin in circle where a concept is introduced, often through a story. Children explore hands-on manipulatives during play-based math labs. Children exercise agency by choosing what they want to practice and explore. Children build confidence through repetition and routine. Educators work in collaboration with each other while supporting small groups or individual children. The closing activity is a sharing circle where children make their thinking visible and learn from each other. Children are empowered to see themselves as capable mathematicians.
 

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Assessment

 

We assess to inform instruction, communicate learning, and drive learning forward. There are a variety of key practices, tools, and resources to support numeracy assessment and make learning visible:

 

Key Practices

  • Observing
  • Conferencing
  • Interviewing
  • Gathering and curating artifacts
  • Documenting
  • Providing and receiving feedback
  • Reflecting
  • Sharing

Tools and Resources

  • Observed experiences
  • Stories
  • Artifacts
  • Portfolios
  • Performance standards
  • Rubrics
  • Learning progressions

  Assessment

"Numeracy is not just about numbers; it's about making sense of the world through a mathematical lens."

 

- Janice Novakowski