HS-MASS 2 Project:Mathematics

Overview of Sessions 1&2

for Teachers

• Overview of HS-MASS 2

• Big Ideas and Learning Goals

• Introduction to the Mathematics Clarification Document

• Using the Mathematics Clarification Document to identify big ideas and learning goals

MMLA

High School - Mathematics and Science Success – 2

HS-MASS 2

• Session 1 – High School Companion Documents for Science and Mathematics

• Session 2 – Identifying Targets (CE deconstruction) and Lesson Construction

• Session 3 and 4 – Balanced Assessment

Session 1 Goals:

• Gain familiarity with Science and Mathematics Companion/Clarification Documents and Content Expectations

• Determine the BIG IDEAS of High School Science and Mathematics

• Identify the Content Expectations and support leading to the BIG IDEAS.

Session 2 Goals:

• Deconstruct content expectations into clear, student friendly targets

• Identify and use specific strategies to teach the language of mathematics and science

• Use the targets and evidence-based instructional strategies to move toward understanding of the big ideas

• Develop student understanding of the progress toward the big idea

Target Ready

Move from the BIG IDEAS

to content expectations

to learning targets

to lesson development (Chapter 3 – Stiggins)

The world of information….

requires a map

The map has structures that represent GREAT BIG IDEAS

The GREAT BIG IDEAS are broken down into BIG IDEAS

The BIG IDEAs contain all the bits of information that lead to understanding

Effective Teaching

• “teaching needn’t be exceptional to have a profound effect…” Schmoker

• “teaching had 6-10 times as much impact on achievement as all other factors combined.” Mortimore and Sammons

• “just 3 years of effective teaching accounts on average for an improvement of 35 to 50 percentile points.” Sanders

Effective Teaching

• Effective Instruction• Goal-Directed Teaching and Learning• Clear, student-friendly targets• Evidence-Based Strategies

• Effective Classroom Management

• Effective Curriculum Design• Standards-Based Instruction & Assessment

= Effective Pedagogy

TargetsFoundation of Instruction, Learning and

Assessment……• What is it we expect students to learn?• What is it that students expect to learn?• Do we have individual goals leading to

comprehension of a BIG IDEA?• Do students understand the progress toward

the BIG IDEA?

Summative Assessment

Reteaching & Enrichment

Classroom Formative Assessment

Learning Activities

Formative Pre Assessment

Learning Targets

Students can’t hit a target they can’t see…..

Curricular Priorities

Worth being familiar with

Important to know and do

Enduring Understanding

Endurance

Leverage

Readiness

ESSENTIAL TARGETS• 3 criteria for each target:

– Endurance – are students expected to retain the skills/knowledge long after the test is completed?

– Leverage – is this skill/knowledge applicable to many academic disciplines?

– Readiness for the Next Level of Learning – is this skill/knowledge preparing the student for success in the next grade/course?

TARGETS

What do targets look like?

• Knowledge

• Reasoning

• Performance

• Product

Levels of Thinking(handouts)

• Recall– Do students know the information?

• Relate– Can students personalize the information?

• Connect– Can students connect the information to

something else?

• Create– Can students do something new and

different with the information?

Match the verb to its Level of Thinking

You be the student: (handout)

• Teachers assign a level of thinking to each of the content expectations.

• Groups come to consensus regarding the levels of thinking required for understanding.

Goal-Directed Education

• What is a learning goal?

– Content Expectations– Text and Materials

• What is the difference between a learning goal and an activity?

– Students will know or be able to do……

TARGETS

• Science / Math– Identify your big idea for deconstruction, using

the clarification/companion documents– Identify the content expectations that support

that big idea– Develop specific learning targets leading to

understanding of the content expectations– Organize the learning goals into a sequence

leading to the understanding of a big idea– Put the goals into student friendly language

What is the clarification project for mathematics?

– A series of documents intended to provide mathematics educators and assessment developers with a clearer understanding of the breadth and depth of the HSCE.

Format• Organized by topic, not by units

– No big ideas explicitly stated but they are talked about/implied throughout the standards and topics

Format• Document begins with information

on the Strand and Standard• Followed by Topic information with

each of expectations listed with any necessary clarification statements

–On the web these expectations are hyper-linked to the clarifying examples and activities, found at the back of the booklet.

Format

Background information, tools and representations•A reference area that includes important formulas, properties, techniques, definitions and/or pedagogical tips for the topic in general.

•Similar to “Instruments, Measurements, & Representations” section of science document

Format– No vocabulary section

• Language students need to know stated throughout the document

FormatAssessable content

• Specific information for assessment developers

Resources• Websites with more information on

the topic or specific expectations; may have information for teachers or activities/applets for students

Format

Clarifying Examples and Activities

• Helps to clarify what an expectation means or its parameters

• It can be:– Description of a classroom activity– Assessment items– Open-ended task

Review of the model lesson for math and the sample completed worksheet

MMLA

Find your BIG IDEA(handout – targets and lesson building strategy)

You be the student:• Fill in the outline for your lesson (1-5)

• Choose a BIG IDEA from the discipline in which you are MOST interested.

• Find where that BIG IDEA is placed in the companion document.

• Find the content expectations that support the ENTIRE BIG IDEA.

Identify the Learning Targets

You be the student: • List the specific learning targets imbedded

in the content expectations.(8)• Put the learning targets into a sequence

leading to understanding of the BIG IDEA.(9)

• Identify the vocabulary necessary for understanding the BIG IDEA. (6)

• Identify the Instruments, Measurements and Representations(7)

Use your Question Quadrant (handout)

You be the student:Assign target verbs to a LOT quadrant (#10)• Ask a question related to that level of thinking

– Use Instruments, Measurements, and Graphic Representations

– Examples: (see handouts)• Data in a graph• Interpreting tables• Trigonometric graphs

• Develop questions for each of the targets at the level of thinking indicated. (#11)

Teach the BIG IDEA

You be the student:

• Assign student-friendly language to the learning goals and place into a checklist for student record-keeping. (12 & 13)

CLEAR TARGETS – Ask Yourself:

– Are the student learning targets stated and easy to find?

– Are the student learning targets focused – are there too many?

– Are they clear?– Do the stated learning targets reflect a bigger

plan to cover all important learning targets leading to a big idea over time?

– Do the students have a check list showing their personal progress?

Teach the BIG IDEA

You be the student:

• Give an example of instructional strategies you might use for each target. (14)

• Use specific vocabulary strategies to insure student understanding of essential terminology (15)

Align by Design (handout)

• Intentionally designing lessons, instructional strategies, metacognitive strategies and assessments around important learning targets such that targets, strategies and assessments are aligned by the cognitive demand they require. (Walstrom)

Teach the BIG IDEA

• Begin and end labs and classroom activities with reflection exercises to extend understanding (jigsaw articles)

• Incorporate games into your instruction• Follow your instructional sequence with

information on progress toward a big idea.• Culminating Activity – Visual SUCCESS!

For more information on the clarification documents contact:

Ruth Anne Hodges, hodgesr3@michigan.gov

For more information on the lesson contact:Rose Martin

rosemartin@tds.net

Or start a discussion on the wikisite: www.mi-math-companion.wikispaces.com