GV Middle School Mathematics 2014-15 Mrs. Susan Iocco December
10, 2014
Slide 2
Characteristics of the New Standards The Standards are: fewer
and more rigorous than in the past. have increased clarity. aligned
with college and career expectations. internationally benchmarked.
designed to include rigorous content and application of
higher-order skills. researched based.
Slide 3
Some Key Terms Clarity and Specificity Skills and concepts are
clearly defined. An ability to apply concepts and skills to new
situations is expected.
Slide 4
Some Key Terms Coherence Instruction, assessment and curriculum
are aligned. Conceptual understanding and procedural skills are
equally stressed. Progressions of topics and performances are
developmentally sound.
Slide 5
Some Key Terms Focus Key ideas, understandings, and skills are
identified. Deep learning of concepts is emphasized. Adequate time
is devoted to a topic to counter the mile wide, inch deep criticism
leveled at most current U.S. standards
Slide 6
Practice and Content Standards Standards for Mathematical
Practice o 8 Practices o Describe ways in which students ought to
engage in mathematics Mathematical Content Standards o 21- 26
Content Standards per grade o Describe what students should
understand and be able to do Together they provide the how and what
of mathematics
Slide 7
The Changes in the PA Standards PDE has changed the focus of
math from mile wide, inch deep philosophy to a more focused,
in-depth set of skills and concepts at each grade level. There is:
A shift in skills- greatest impact at grades 4, 5, and 6. An
expectation of mastery of skills (depth vs. breadth). A drive for
students to explore and express math thoughts
Slide 8
Examples of Shifts in Mathematical Teaching for All Grade s
More emphasis at each grade on reasoning, problem solving,
modeling, decision making, and engagement. More emphasis on
connecting practice standards with content standards at each
grade
Slide 9
Examples of Shifts in Content- Intermediate Grades More
emphasis on: applying strategies and using properties relationships
between and among shapes developing an understanding of geometric
figures based on their properties identifying patterns measuring
with precision and purpose analyzing and solving problems based on
data.
Slide 10
Examples of Shifts in Content- Intermediate Grades Less
emphasis on: Measuring in isolation Making measurement conversions
outside of the context of a problem solving situation Locating
random points on the coordinate system Computing in isolation
Slide 11
Slide 12
Shifts in Emphasis Shifts in Emphasis in Grade 6 Shifts in
Emphasis for Grade 7 Shifts in Emphasis for Grade 8
Slide 13
Standards for Mathematical Practice: A Key Component These
eight Practice Standards are designed to help students internalize
concepts for a greater understanding of mathematics. They are the
habits of mind of a productive mathematical thinker. 1.Make sense
out of problems and persevere in solving them. 2.Reason abstractly
and quantitatively. 3.Construct viable arguments and critique the
reasoning of others. 4.Model with mathematics. 5.Use appropriate
tools strategically. 6.Attend to precision. 7.Look for and make
sense of structure. 8.Look for and express regularity in repeated
reasoning.
Slide 14
Big Ideas and The Standards for Mathematical Practice Make
sense of problems and persevere in solving them. Multiple
representations are presented to help the students move from
concrete to representative and into abstract thinking. Essential
Questions help students focus and analyze. In Your Own Words
provide opportunities for students to look meaning and entry points
to a problem. Reason abstractly and quantitatively. Visual problem
solving models help students create a coherent representation of
the problem. Opportunities for students to decontextualize and
contextualize problems are present in every lesson.
Slide 15
Big Ideas and The Standards for Mathematical Practice Construct
viable arguments and critique the reasoning of others. Error
Analysis; Different Words, Same Question; and Which One Doesnt
Belong features provide students the opportunity to construct
arguments and critique the reasoning of others. Inductive Reasoning
activities help students make conjectures and build a logical
progression of statements to explore their conjecture. Model with
mathematics. Real-life situations are translated into diagrams,
tables, equations, and graphs to help students analyze relations
and to draw conclusions. Real-life problems are provided to help
students learn to apply the mathematics they are learning to
everyday life.
Slide 16
Big Ideas and The Standards for Mathematical Practice Use
appropriate tools strategically. Graphic Organizers support the
thought process of what, when, and how to solve problems. A variety
of tools, such as graph paper, number lines, and manipulatives are
available as students consider how to approach a problem.
Opportunities to use the web, graphing calculators, and
spreadsheets support student learning. Attend to precision. On Your
Own questions encourage students to formulate consistent and
appropriate reasoning. Cooperative learning opportunities support
precise communication.
Slide 17
Big Ideas and The Standards for Mathematical Practice Look for
and make use of structure. Inductive Reasoning activities provide
students the opportunity to see patterns and structure in
mathematics. Real-world problems help students use the structure of
mathematics to break down and solve more difficult problems. Look
for and express regularity in repeated reasoning. Opportunities are
provided to help students make generalizations. Students are
continually encouraged to check for reasonableness in their
solutions.
Slide 18
Our New Texts Big Ideas Math
Slide 19
The Authors: Math Educators Ron Larson Professor of Mathematics
at Penn State Erie Ph.D in mathematics Lead author of a
comprehensive program for mathematics that spans middle school,
high school, and college courses Is in constant touch with the
needs of students and teachers through numerous professional
activities
Slide 20
The Authors: Math Educators Laurie Boswell Lead teacher of
mathematics in Lyndonville, Vermont Teacher of mathematics from
elementary through college levels Ed.D in Mathematics Recipient of
the Presidential Award for Excellence in Mathematics Teaching
Co-author of numerous math programs
Slide 21
About the Program Big Ideas is activity-based. There are less
topics presented at a deeper level. There are opportunities for
students to process concepts in their own words. There are real
world connections in every lesson. Essential Questions are
presented to help students focus and make connections. There are
online resources for students, parents and teachers
Slide 22
Parent/Student Components Easy access to all components through
the Big Ideas Math website https://www.bigideasmath.com/ 24/7
online access to student text Parent online resources include: o
Parent letters for each chapter which include At Home Activities o
Basic Skills and Skills Review Handbooks o History of the Standards
initiatives o A Game Closet