PROFESSIONAL LEARNING THAT CHANGES HOW TEACHERS SEE MATHEMATICS
Help teachers move beyond procedures and develop the deep mathematical understandings that connect number, operations, decimals, fractions, and algebraic reasoning.
PROFESSIONAL LEARNING THAT GOES BEYOND “SIT AND GET”
Teachers should experience the mathematics they are being asked to teach.
Patrick’s professional learning is built around active mathematical thinking, discussion, representations, and reflection — not hours of slides.
Participants will:
solve and discuss meaningful mathematical tasks
work with visual models and representations
analyze mathematical language
examine student thinking
challenge familiar procedures and assumptions
leave with ideas they can use immediately
PROFESSIONAL LEARNING EXPERIENCES
UNLEASHING CHILDREN’S MATHEMATICAL BRILLIANCE
K–6
Help teachers uncover the mathematical ideas that connect number, operations, decimals, fractions, and algebraic reasoning.
Participants explore:
the 5 superpower understandings
equal exchanges and how they bind together many different elementary concepts
how analogous problems and tandem problems can help students see connections between operations with whole numbers, fractions, and decimals
re-imagined conceptually coherent language to connect ideas that are commonly taught as isolated ideas
why children struggle with fractions and instructional strategies to help them thrive with fractions
UNLEASHING MULTIPLICATIVE BRILLIANCE
Grades 3-8
Help teachers move students beyond memorizing isolated multiplication facts toward flexible multiplicative reasoning and meaningful mathematical relationships.
Participants explore:
reasoning patterns that hinder children’s ability to engage in multiplicative reasoning
the models that help students see multiplicative relationships
three strategies to help students reason multiplicatively
binding language to connect whole number and fraction multiplication.
retrieval practice strategies to build fluency
UNLEASHING CHILDREN’S FRACTION BRILLIANCE
Grades 3-8
Help teachers move beyond part-whole models and develop stronger fraction-as-number and fraction-as-measure conceptions.
Participants explore:
why children struggle with fractions
how to break down the conceptual divide between whole numbers and fractions
the power of equal exchanges: a connecting idea binding together whole numbers, money transactions, and equivalent fractions
the power of partitioning and iterating activities
the appropriate developmental pathway to develop each fraction conception: measure, ratio, action, and division
shifting language away from confusing terminology such as denominator, mixed number, and improper towards conceptual coherent language
SAYING IT DIFFERENTLY TO SEE IT DIFFERENTLY
K-8
Help teachers examine how language, representations, and symbols shape what students understand about mathematics.
Participants explore:
the See It, Say It, Symbolize It framework
conceptually consistent mathematical language
numbers as quantities connected to sizes of units
equal exchanges
analogous problems
ways to make the mathematics beneath symbols visible
HOW CAN PROFESSIONAL LEARNING BE STRUCTURED?
FULL-DAY WORKSHOPS
Highly interactive, focused experiences built around one of Patrick’s core professional learning topics.
MULTI-DAY & ONGOING LEARNING
Extend the learning across multiple days or sessions so teachers have time to apply ideas, reflect, and return with new questions.
CUSTOMIZED PROFESSIONAL LEARNING
Professional learning can be tailored to your school, district, grade band, instructional priorities, and the mathematical ideas your teachers are working to strengthen.