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# jjdonson/00-msl-intro.md

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Math As A Second Language - Intro Lesson and Test Prep Strategy Overview

## Math as a Second Language

### Test Prep Strategies Across Subjects

• We must learn to demonstrate all strategies below while reviewing math exam problems.

#### Strategic Best Practices

• Top ~ 12 Test Prep Coaching Best-Practices that always help everyone on these standardized tests...

• 1: Interpret test question scoring and proctoring rules to identify whether blank answers are strategically wise.

• 2: Dissect each question by considering the expected form of the answer.  Underline key info.

• 3: Tag each question in terms of both question types and topic keywords. Inclusion first!!!

• 4: Elimination Wrong Answers First, Including Why.

• 5: Show All Of Our Work.

• 6: Track Time.  Dissect now, attempt twice, and perhaps return later...

• 7: Check Our Work and Check Our Answers.

• 8: Target Exam Vocabulary

• 9: Use Diagrams Wherever Possible

• 10: Ask For Clues Before Losing Hope

• 11: Refactor Question Into Template

• Elementary School Student Focus

#### Math-Specific Test Prep Skills

• Consider the types of numeric values that we might be asked to calculate or manipulate.

• Only give a kid a calculator after they know their times tables up to 12, cold!  Up to 25 would be better.  Learn some graphing tools!!

• Consider the "calculation operators six-pack" and the several math subjects from k-12, in sequence.

• Consider how to bring math to life with hands-on interactive lessons that pertain to the interests of any given teacher or student.  LABORATORY?

• Focus on the most frequently used words in math word problems.  Identify taxonomy and diagram assistive aids.

• Identify any mathematical symbology at play, and learn what it means and how it works.

• Identify where simplest-first approaches dictate that educators rethink the math curriculum, especially in middle school.

• Discuss the evolution of math tools, starting with the abacus.  Discuss time, space and money.

### STEM Learning Paths That Depend Upon Math Skills

#### K-12 Math Subjects

|||

^ log
* /
--- ---
+ -
--- ---
• Each of these symbols map to English terms (like sum) and other equivalent symbols!

### STEM Courses and Learning Paths

• Clarify the many STEM courses which depend upon secondary school math skills.

• Physics => Engineering --E

• Chemistry => Materials Engineering + Healthcare --E

• Biology => Healthcare --E

• Color + Sound + Labs => Arts --E

• Engineering => Technology --E

• Logic => Law + Policy Management

• Mandatory prerequisites are 'ladders of dependency'.

## Sample Lesson Format

• Think Outside of the Box !
• Comprende Afuera De La Caja !

#### Educational Participants

• Coaches: Model test prep strategies and target math exam content first.
• Faculty: Find linguistic connections to foster an interdisciplinary vocabulary.
• Students
• Learn to follow test prep strategies.
• Use math tools to identify persistent terminology across standardized exams.

#### Types of Educational Objectives

• Test Prep Objectives
• Multicultural Objectives
• Curriculum Objectives
• Instructional Objectives
• Assessment Objectives

#### Sample Test Prep Lesson

• How short can we make a mini-lesson?

• How do we eliminate wrong answers?

• Can we drive straight to an answer?

• Should we make some notes and return later?

• What complete sentences and figures would help inform us?

• What questions of clarification might we ask?

• What clues might we ask for?

## Dissecting Standardized Math Questions

• Fill-In From List
• Fill-In From Memory
• Show All Work Using Complete Sentences
• Diagrams + Figures

### Question Categories

• Time, Space + Money
• Parts of Wholes
• Graphing + Pre-Algebra
• Geometry + Pre-Trig
• Calculations-Only
• Combinations + Stats
• Diagrams + Maps + Charts + Figures
• Extend this with state math and language PRIMARY SKILL standards

### Exam Tags

• subject
• year
• state source pdf url

### Question Tags

• exam id
• question id
• rank of difficulty
• keywords
• data points

### Question Terminology

• Scoring
• Sequential Learning
• Matrix
• Axis
• Cube

### Secondary Skills

• Compare + Contrast => Venn Diagrams
• Complete Sentences => Sentence construction.
• Metrics <=> US Standards
• Times Tables + Proportionality + Geometry
• fractions + decimals + percents
• temperature conversions
• coefficients + manipulations