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Discover strategies to boost struggling students' success in math, focusing on vocabulary, notation, oral recitation, and effective teaching practices. Learn the key components of an effective lesson and ways to improve student-teacher relationships.
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Too many grades ofD or F in math? Hanlonmath
Kids only get one chance at receiving a good education, we are working to ensure they get it! Hanlonmath
Today • Today’s presentation focuses on what we can do to help struggling students, students living in poverty, become successful in their study of mathematics. Hanlonmath
MLL In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments in which the altitude is the geometric mean of the lengths of the two segments. Hanlonmath
Geometric Mean Hanlonmath
Geometric Mean • Proportion - Proportions equal fractions Hanlonmath
Equivalent Fractions Hanlonmath
MLL Math Language Learners Hanlonmath
Vocabulary & Notation There is no more single important factor that affects student achievement than vocabulary and notation Hanlonmath
Vocabulary • Find the degree of the monomial 4x2y3z5 Hanlonmath
Vocabulary Best Bet? • Bet A • Probability of winning is 3/5 • Bet B • Odds of winning 3 to 5 Hanlonmath
Language Acquisition • Double meanings area volume operation power mean feet product Hanlonmath
MLL • Solve • Find the roots • Find the zeroes • Find the value of the variable that makes the open sentence true Hanlonmath
Speaking • Oral recitation • Speaking • Working in pairs (groups) Hanlonmath
Oral Recitation Language Acquisition Teaches students how to learn Embeds in short tem memory Hanlonmath
Classroom Oral Recitation • Procedure – Adding/Subtracting Fractions 1. Find a common denominator 2. Make equivalent fractions 3. Add/Subtract numerators 4. Bring down denominator 5. Reduce Hanlonmath
Classroom Oral Recitation • Quadratic Formula Hanlonmath
Rules in Mathematics Don’t make sense! Hanlonmath
Math Rules! • Division by Zero • Dividing Fractions • Rules for Exponentials • Rules for Integers Hanlonmath
Understanding • What does “do you understand”really mean? Hanlonmath
Understanding • Divide Fractions • Flip & Multiply Hanlonmath
Understanding • ax + b = c • 4x + 2 = 30 • 5x – 4 = 3x + 16 • 2(3x– 4) – 2 = 4x + 10 • x/3 – x/4 = 6 • (x – 4)/2 + (x + 3)/5 = x – 5 Hanlonmath
Axiom The more math you know, the easier math gets! Hanlonmath
Way of Thinking Math is more than just a body of knowledge, it is a way of thinking that affects the way we live. Hanlonmath
Decisions • Computation; 4 x 13 x 25 • Algorithm (rule) • Properties of Real Numbers Hanlonmath
Decisions • Finding a common denominator • Multiply denominators • Write multiples • Factor Tree, LCM • Reducing Method Hanlonmath
Decisions • Systems of Equations • Graphing • Substitution • Linear Combination • Cramer’s Rule Hanlonmath
Decisions • Quadratic Equations • Zero Product Property • Completing the Square • Quadratic Formula • Rational Root Theorem Hanlonmath
The more math you know, the easier math gets! Hanlonmath
Answering the Question What are you doing to help my child learn? Hanlonmath
Organizing Student Learning • Preparation really matters! • Instruction, Concept Development-Linkage • Note Taking • Homework • Test Preparation • Assessment Student-Teacher Relationships My Kid Standard Hanlonmath
What are you doingto improve instruction? Hanlonmath
What are you doingto help my child learn? Hanlonmath
Good News! • Teachers are already employing many of the best practices needed to increase student achievement. Hanlonmath
Best practices • Note taking • Homework • Tests Hanlonmath
Components of an Effective Lesson • Before presenting a lesson, refer to the assessment blueprint for the unit. • Introduction • Daily Reviews • DailyObjective • Concept and Skill Development and Application • Guided / Independent / Group Practice • Homework Assignments • Closure • Long-Term Memory Review Hanlonmath
Its about you! • Use the DATA Hanlonmath
Increasing Student Achievement No simple answer- what works is work Hanlonmath
Success on Success Hanlonmath
Success on Success • First Test – Important for confidence! • Grade Distribution • Success on Success • Teach students how to learn effectively and efficiently. • Concentration times Hanlonmath
Reading Thinking Reflecting Organizing Writing Analyzing Visualizing Reviewing Remembering Recalling Studying Hanlonmath
Student-Teacher Relationships • Treat your students the way you want your own children treated. • Build success on success. • Talk to your students. Be friendly. • Talk positively to your students about their opportunity to be successful. • Call home early with information and good news. • Make testing as much a reflection of your instruction as their studying. Hanlonmath
Student-Teacher Relationships • Teach your students how to study effectively and efficiently (visual, audio, kinesthetic, concentration time). • Tell them you like them. • Go over expectations explicitly and give examples. • Build trust, make sure they know you are there for them by telling them you are. • Tell them you want them to succeed. • Continually answer the question; “What am I doing to help my students learn?” Hanlonmath
Contradictory Rules Hanlonmath
Learning Students learn best when they are given feedback on their performance and praised for doing things well Hanlonmath
Unsuccessful Students Hanlonmath
STAR System • 3 Stars – on the test unchanged, no computation, no manipulation • 2 Stars – on the test, changes in numbers • 1 Star – allows variability, so curriculum is not narrowed Hanlonmath
The Phone Conversation • Introduction • Pleasure teaching your son/daughter, nice young man/lady • Explanation, how I intend to help your child succeed – Instruction • Clear instruction, linkage, memory aids • Notes, * system, very prescriptive • Homework, comes from notes & instruction • Oral recitation, procedures & formulas • Practice tests, * system • Study/flash cards • Reviews Hanlonmath
The Phone Conversation • Permission to use those strategies/consequenes • Parental help • Know when tests are scheduled • Examine student notebooks • Use flashcards to help study Hanlonmath
Content & Pedagogy Hanlonmath