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Too many grades of D or F in math?
Hanlonmath
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Kids only get one chance at receiving a good education, we are working to ensure they get it!
Hanlonmath Hanlonmath
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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. ----- Meeting Notes (8/28/11 13:12) ----- How many of you speak English? speak math? Hanlonmath Hanlonmath
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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. Geo mean – Red light Hanlonmath Hanlonmath
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Geometric Mean Hanlonmath
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Geometric Mean - Proportions equal fractions Proportion Hanlonmath
When they see the phrase geo mean, students should think proportion just as they see a red light they would think stop Hanlonmath Hanlonmath
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Equivalent Fractions Hanlonmath
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Math Language Learners
MLL Math Language Learners We have a math language learners problem- added to ELL issues ----- Meeting Notes (8/28/11 13:12) ----- What thge reasearch says... Hanlonmath Hanlonmath
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Vocabulary & Notation There is no more single important factor that affects student achievement than vocabulary and notation Hanlonmath Hanlonmath
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Vocabulary Find the degree of the monomial 4x2y3z5 Hanlonmath
If the students missed that question, do you really think it is the math causing the difficulty or the vocabulary Hanlonmath Hanlonmath
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Vocabulary Best Bet? Bet A Probability of winning is 3/5 Bet B
Odds of winning 3 to 5 Hanlonmath
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Language Acquisition Double meanings area volume operation power mean
feet product How many feet are there in a yard Refer to handout; solve; 4 less than x, etc Hanlonmath Hanlonmath
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MLL Solve Find the roots Find the zeroes
Find the value of the variable that makes the open sentence true Different ways of saying the same thing – math synonyms Hanlonmath Hanlonmath
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Speaking Oral recitation Speaking Working in pairs (groups) Hanlonmath
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Oral Recitation Language Acquisition Teaches students how to learn
Embeds in short tem memory Hanlonmath
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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 2 minutes/ talk about success on success when calling on ind students, create impression kids are getting it Address success on success by calling on kids that are getting it!!! Hanlonmath Hanlonmath
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Classroom Oral Recitation
Quadratic Formula Hanlonmath
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Rules in Mathematics Don’t make sense! Hanlonmath
Div by zero, exponents , + Den,div fract, x by 10, integers Not matter of IF students will forget, need to reconstruct knowledge Math, more than a body of knowledge, it is a way of thinking Hanlonmath Hanlonmath
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Math Rules! Division by Zero Dividing Fractions Rules for Exponentials
Rules for Integers Commandments, I said so, wow, drinking Hanlonmath Hanlonmath
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Understanding What does “do you understand” really mean? Hanlonmath
We are not really asking about understanding, we are asking about mimicking Hanlonmath Hanlonmath
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Understanding Divide Fractions Flip & Multiply Hanlonmath
Solving equations – order of operations ----- Meeting Notes (8/28/11 13:12) ----- Everything is ax + b = c Hanlonmath Hanlonmath
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Understanding ax + b = c 4x + 2 = 30 5x – 4 = 3x + 16
Understand the strategy, putting into ax + b format, then O3 Hanlonmath Hanlonmath
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The more math you know, the easier math gets!
Axiom The more math you know, the easier math gets! Hanlonmath
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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
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Decisions Computation; 4 x 13 x 25 Algorithm (rule)
Properties of Real Numbers Students who undertstand do this in their head, struggling students do it by rule and take a lot of time Hanlonmath Hanlonmath
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Decisions Finding a common denominator Multiply denominators
Write multiples Factor Tree, LCM Reducing Method Knowing alternatives – understanding makes fractions a great deal easier Hanlonmath Hanlonmath
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Decisions Systems of Equations Graphing Substitution
Linear Combination Cramer’s Rule Hanlonmath
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Decisions Quadratic Equations Zero Product Property
Completing the Square Quadratic Formula Rational Root Theorem Hanlonmath
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The more math you know, the easier math gets!
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Answering the Question
What are you doing to help my child learn? Hanlonmath
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Organizing Student Learning
Preparation really matters! Instruction, Concept Development-Linkage Note Taking Homework Test Preparation Assessment Student-Teacher Relationships My Kid Standard Part of CEL and TE, focused on organizing student learning – Nothing new! Good instructional practices Hanlonmath Hanlonmath
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What are you doing to improve instruction?
National Research strongly indicates the suggestions, recommendations, and or directions given by supervisors doesn’t address improved instructional practices Hanlonmath Hanlonmath
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What are you doing to help my child learn?
Parents don’t care about your issues, they care about their child! Hanlonmath Hanlonmath
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Good News! Teachers are already employing many of the best practices needed to increase student achievement. Hanlonmath
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Best practices Note taking Homework Tests Hanlonmath
Best practices as identified by ed research Hanlonmath Hanlonmath
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Components of an Effective Lesson
Before presenting a lesson, refer to the assessment blueprint for the unit. Introduction Daily Reviews Daily Objective Concept and Skill Development and Application Guided / Independent / Group Practice Homework Assignments Closure Long-Term Memory Review Build on these while emphasizing the observable. SAME Hanlonmath Hanlonmath
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Its about you! Use the DATA Hanlonmath
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Increasing Student Achievement
No simple answer- what works is work Hanlonmath
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Success on Success Hanlonmath
Teach how to be successful – make sure students experience it Hanlonmath Hanlonmath
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Success on Success First Test – Important for confidence!
Grade Distribution Success on Success Teach students how to learn effectively and efficiently. Concentration times Over teach / over learn content while teaching students how to be successful Grade Distributions – early warning signs Hanlonmath Hanlonmath
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Studying Reading Thinking Reflecting Organizing Writing Analyzing
Visualizing Reviewing Remembering Recalling Most students simply don’t know how to study Osmosis, stare & glare ----- Meeting Notes (8/28/11 13:12) ----- St Tchr relations - include parents Hanlonmath Hanlonmath
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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. My Kid Standard Contradictory Rules / Poverty –FOOD; quantity, quality, presentation Hanlonmath Hanlonmath
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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?” UNLV Hanlonmath Hanlonmath
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Contradictory Rules Hanlonmath
Resolving problems, eating, etc - poverty Hanlonmath Hanlonmath
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Learning Students learn best when they are given feedback on their performance and praised for doing things well Same is true with teachers, but be specific! Hanlonmath Hanlonmath
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Unsuccessful Students
Belief system, math experiences, knowledge of studying, not having a mentor (17%), someone talking to them about future. Success based on being smart – not work. Why are your students performing in such a manner. Contradictory behaviors; deckm, joke-tension, Poverty training, eating Hanlonmath Hanlonmath
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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
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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 Can’t buy this PR Not about what parents will do , about what we will do Hanlonmath Hanlonmath
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The Phone Conversation
Permission to use those strategies/consequenes Parental help Know when tests are scheduled Examine student notebooks Use flashcards to help study Build a rapport with parents, let them know you are there to help their child excel Build trust, Phone conversation not about telling parents what they need to do Hanlonmath Hanlonmath
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Content & Pedagogy Hanlonmath
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1st Essential - Instruction
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Instruction Teach for understanding
Its not a matter of if students will forget information, it’s a matter of when they will forget Students should be able to reconstruct knowledge over time Parents can’t do math – Administrators have same excuse Don’t expect you to know or teach the subject or know if it is being taught wrong, but you should be able to follow the instruction with understanding. Otherwise why would the 13 year old beside you be understanding?? Hanlonmath Hanlonmath
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Preparation Preparation Creation of a practice test and choosing examples before instruction begins suggests that teachers prepared for the unit; knowing where students traditionally experience difficulty and having resources and strategies ready to address those difficulties. Tom Landry – The only thing more important than the willingness to win is the willingness to prepare to win. Today’s preparation determines tomorrow’s achievement. Hanlonmath Hanlonmath
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Preparation Practice test Cover curriculum appropriately (rigor)
Grades - Fair & Portable Benchmarked Unit questions reflect questions on: Curriculum Unit HSPE Semester exams College Entrance exams (ACT & SAT) Practice Proficiency Questions Hanlonmath Hanlonmath
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Balance in mathematics has been defined as:
Vocabulary & Notation Concept Development & Linkage Memorization of Important Facts & Procedure Applications Appropriate Use of Technology Balance should be reflected in assessments and in the delivery of instruction. Hanlonmath
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Time on Task Stake and local school districts usually determine the classroom time available to teachers and students. However, regardless of the quantity of time allocated to classroom instruction, it is the classroom teacher and school administrator who determine the effectiveness of the time allotted. According to a survey conducted by the American Association of School Administrators, teachers identify student discipline as the single greatest factor that decreases time on task in the classroom. Generally, teachers with well-managed classrooms, have fewer disciplinary problems. These classrooms typically have teachers who have established rules and procedures are in the classroom when the students arrive, and begin class promptly. They reduce the “wear and tear” on themselves and students by establishing procedures for make-up work, they arrange their room to accommodate their teaching philosophy and style, and they develop routines that increase overall efficiency. The benefits of establishing these classroom procedures and routines become apparent as the total time on task approaches the allocated time. Enlarge or bullet? Hanlonmath Hanlonmath
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Time on Task When teachers begin class immediately, students view them as better prepared, more organized and systematic in instruction, and better able to explain the material. Students also see these teachers as better classroom managers, friendlier, less punitive, more consistent and predictable, and as one who values student learning. Routines like beginning class immediately, reviewing recently taught material, orally reciting new material, having students take notes, and ending the class by reviewing important definitions, formulas, algorithms, and the daily objective keep students engaged and on task. Quality time on task is not a “silver bullet” that can cure all the problems facing education. However, it can play an important role in increasing student achievement. American culture, boys show affection by hitting each other 2 yr old by swim pool, control environment Hanlonmath Hanlonmath
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Content - Instruction What you teach affects student achievement
How you teach it affects student achievement Hanlonmath
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Subtraction 5 – 1 15 – 6 8 – 8 14 – 6 13 – 5 9 – 2 15 – 9 7 – 1 14 – 5
16 – 9 4 – 4 10 – 4 6 –2 12 – 4 10 – 3 6 – 3 Which is easier for students, 8-8 0r 12-3? Why? Patterns Hannah story Hanlonmath Hanlonmath
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When will I ever use this?
Pythagorean Theorem Parabola Circumference Distance formula,,eqn of circle, trig identity Remember the excitement of learning about the Vertex, focus, directrix – parabolic oven, flashlight, head light, satellite dish, amphitheatre Common core – have to derive formula Hanlonmath Hanlonmath
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Knowledge, Interest, & Enthusiasm
Low rider! Hanlonmath Hanlonmath
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Systems Can 2 phone companies claim they have the lowest rate & be telling the truth Hanlonmath Hanlonmath
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Functions C = 10 + .05m y = 10 + .05x y = .05x + 10 y = (1/20)x + 10
Cost of cell phone, 10/mo plus .05/message looks different than the eqn in the math class Hanlonmath Hanlonmath
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Use simple straight forward examples that clarify what you are teaching. Do not get bogged down in arithmetic. Hanlonmath
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Multiplication by 11 by 25 Hanlonmath
While the theorem is important, show them why! Hanlonmath Hanlonmath
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Leading the department
Leaders make sure all department members know what and how material is assessed and what a good answer looks like. Leaders make sure all members teach and assess the standards on high-stakes tests. Hanlonmath
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Different Ways to Measure the
Same Standard Hanlonmath
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Finding Measures of Central Tendency
Find the mean of the following data: 78, 74, 81, 83, and 82. 2. In Ted’s class of thirty students, the average on the math exam was 80. Andrew’s class of twenty students had an average 90. What was the mean of the two classes combined? Reference the p-value from these questions. Each question is directly from the Released HSPE. In the beginning, teachers concentrated on the questions – not the understanding 3. Ted’s bowling scores last week were 85, 89, and What score would he have to make on his next game to have a mean of 105? Hanlonmath Hanlonmath
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Finding Measures of Central Tendency
4. One of your students was absent on the day of the test. The class average for the 24 students present was 75%. After the other student took the test, the mean increased to 76%. What was the last student’s score on the test? Discussion aligned to teacher discussions. Variety of methods to assess one individual standard. 5. Use the graph to find the mean. Hanlonmath Hanlonmath
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I can’t teach __________ because my kids don’t know _____________
How many times have you heard that – how do we know if it is true? Hanlonmath Hanlonmath
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Show them how - Linkage Introduce new concepts using familiar language
Review and reinforce Compare and contrast Teach in a different context Addressing student defieciencies Hanlonmath Hanlonmath
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Polynomials Hanlonmath
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= 6(100) + 7(10) + 2(1) 2 6 n n 2 Place value & expanded notation – 2nd grade The language changes: not 6 times x squared; from adding 100’s, to combining like terms 6x x 2 Hanlonmath Hanlonmath
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8 7 3 5 3 2 + 3 4 1 = (5 +3)(100) + (3 + 4)(10) +(2 + 1)(1) = (8)(100)
+ = (5 +3)(100) + (3 + 4)(10) +(2 + 1)(1) = (8)(100) + (7)(10) + (3)(1) = (800) + (70) + (3) = Hanlonmath
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Addition - Left to Right
412 + + 362 213 = (4 +3+2)(100) + (1+6+1)(10) + (2+2+3)(1) = (9)(100) (8)(10) + (7)(1) = + (900) (80) + (7) = + 9 8 7 123 502 + + 271 = (1 +5+2)(100) Pick examples that clarify what you are teaching Have the kids write these as polynomials + (2+0+7)(10) + (3+2+1)(1) = (8)(100) (9)(10) + (6)(1) = + (800) (90) + (6) = + Hanlonmath Hanlonmath
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(5x + 3x + 2) + (3x + 4x + 1) (5x + 3x ) + (3x + 4x) + (2 + 1)
+ = (5x + 3x + 2) + (3x + 4x + 1) 2 (5x + 3x ) + (3x + 4x) + (2 + 1) 2 = 8x + 7x + 3 2 Hanlonmath
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Add / Subtract Rational Expressions Hanlonmath
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1 + 3 2 2 6 3 6 + 5 6 Use picture & common language, Redo to develop algorithm Hanlonmath Hanlonmath
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1 + 3 2 = 5 6 1 + 4 5 = 9 20 1 + 3 4 = 7 12 Hanlonmath
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1 + 3 5 = 8 15 Hanlonmath
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2 + 3 1 5 = 13 15 3 + 10 2 = 29 30 Hanlonmath
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3 + 4 1 5 = 3 1 19 + = 4 5 20 Hanlonmath
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2 + X 3 Y = XY 2 + X 3 Y = 2Y + 3X XY Hanlonmath
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+ + A C B D = BD A C AD + BC = B D BD Hanlonmath
Here’s where too many teachers begin instead of reviewing and reinforcing knowledge. They say it is because they don’t have time. What happens to most students if they have no understanding and the variables change? B D BD Hanlonmath Hanlonmath
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+ + 3 x-1 2 x+3 = (x-1)(x+3) 3 x-1 2 x+3 = 3(x+3) + 2(x-1) (x-1)(x+3)
Can’t make problems more difficult, can only make them longer Hanlonmath Hanlonmath
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Relations & Functions Hanlonmath
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Functions Special relation in which no 2 ordered pairs have the same 1st element. This makes little or no sense to students, develop it. Glazed donuts Hanlonmath Hanlonmath
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Menu Hamburger ……….4 Hotdog ……………3 Sandwich …………5 00 Hanlonmath
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H, Hd, S, 4 3 5 4 H, Hd,( S), 3 5 4 (H, ) (Hd, ) (S, ) 3 5 00 00 00
Create ordered [airs for understanding 4 00 (H, ) (Hd, ) (S, ) 3 5 Hanlonmath Hanlonmath
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Cold Drinks .50 1, 2, 3, 1 00 50 .50 (1, ) (2, ) (3, ) (10, ? ) 1 00 50 Hanlonmath
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.50 1, 2, 3, 1 00 50 .50 (1, ) (2, ) (3, ) (10, ? ) 1 00 50 C = n x .50 = .50n or y = x C=nx.50 makes sense, converting it to x,y causes great difficulty What the cost of an additional drink, change in price, the rate of change, the slope 1 2 Hanlonmath Hanlonmath
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(1, ) 1 (2, ) 1 (3, ) (4, ) 2 1 (4, ) 50 00 50 00 75 Hanlonmath
(1, ) 1 00 (2, ) 1 50 (3, ) (4, ) 2 00 1 75 (4, ) Not right, cheated not working, not functioning – Now introduce the definition of function Hanlonmath Hanlonmath
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Functions Special relation in which no 2 different ordered pairs have the same 1st element. This makes little or no sense to students, develop it Hanlonmath Hanlonmath
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Multiplication Hanlonmath
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3 2 2 1 x x + 2 x + 3 3 2 3x + 6 6 4 2 x + 2x 2 x + 5x + 6 Hanlonmath
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(x + 3) (x + 2) = x + 5x + 6 (x + 4) (x + 5) = x + 9x + 20
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(x+6)(x+4) = x2 + 10x + 24 Hanlonmath
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(2x + 3) (3x + 5) 6x + 8x + 15 2 Hanlonmath
Based on last pattern - wrong Hanlonmath Hanlonmath
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2x + 3 3x + 5 10x +15 6x + 9x 6x +19x +15 2 2 Hanlonmath
Where’d the 19 come from? I don’t know… Look for the pattern Hanlonmath Hanlonmath
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(2x + 3) (3x + 5) (2x + 3) (3x + 5) 2 6x + 19x + 15 Hanlonmath
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F O I L Hanlonmath
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3 2 2 1 x 3 2 2 1 x 7 Hanlonmath
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Equations of Lines Hanlonmath
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= m y - y1 x - x1 y - y1 = m (x - x1) Hanlonmath
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Find the equation of a line passing through the point (2,3), with m = 4
y - y1 = m (x - x1) y = 4 (x - 2) point - slope Hanlonmath
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y – 3 = 4 (x - 2) y – 3 = 4x - 8 y = 4x - 5 Solve for y: Hanlonmath
Solving for y results in the slope intercept Easy to graph, upon inspection, the intercept is the point where the graph crosses the y-axis Hanlonmath Hanlonmath
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y = 4x - 5 slope - intercept y = mx + b Hanlonmath
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4x – y = 5 general form Hanlonmath
Placing the x and y on the same side of the equation results in the general form; x and y intercpets Hanlonmath Hanlonmath
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LINKING Introduce using familiar language Review & Reinforce
Compare & Contrast Teach in different context Increased Student Achievement Hanlonmath
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Linking Fractions Decimals Percents Hanlonmath
Algorithm for adding frac & decimals Hanlonmath Hanlonmath
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Linking Pythagorean Theorem Distance Formula Equation of a Circle
Trig Identity Hanlonmath
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Linking Special products in algebra Special products in arithmetic
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Linking Quadratic Formula Completing the Square Hanlonmath
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Linking Solving Linear Equations Order of Operations Hanlonmath
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ax + b = c Linear equations Equations containing absolute value
Radical equations Systems of equations Quadratic equations We convert everything to ax + b = c, then use Order of Operations Hanlonmath Hanlonmath
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Area-Volume Rectangle Parallelogram Triangle Trapezoid Hanlonmath
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Composition of Functions
Linked to evaluating functions f(g(x)) Make a purchase, pay a 7.5% sales tax and a $20 delivery fee. Why do separate problems when you can do one Hanlonmath Hanlonmath
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Why Linking? It’s not a matter of if students are going to forget information, it’s a matter of when. Linking concepts will allow students to reconstruct concepts and skills Using concept development and linkage to elementary school math provides teachers an opportunity to help address deficiencies, create a better understanding, and comfort in students knowledge of math Hanlonmath Hanlonmath
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Basic Facts & Procedures
Stopping to remember basic facts interrupts the flow of thought, which negatively impacts learning. Memorization is important!!! Hanlonmath Hanlonmath
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Memorization Memorizing can help students absorb and retain information on which understanding and critical thought are based. The more sophisticated mental operations of analysis, synthesis, and evaluation are impossible without rapid and accurate recall of bodies of specific knowledge. Teachers don’t like to drill their students, they say it is boring – not fun Hanlonmath Hanlonmath
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It is my job to teach: Reading Writing Hanlonmath
Eye movement, don’t read by page, paragraph, sentence – every word important – read phrase by phrase, looking at ex and illustration Hanlonmath Hanlonmath
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Reading Assign reading Explicitly introduce vocabulary & notation
Preview reading Connect reading Check understanding of reading Correct their understanding Use paper & pencil These components are observable Talk about eye movement Hanlonmath Hanlonmath
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Organizing Student Thinking
What’s the easiest way to help students to organize their thinking? Writing Many of the same components as studying Hanlonmath Hanlonmath
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Writing Definitions Procedures Linkages Applications
Compare & contrast Describe what they understand Describe difficulty experienced Describe how to solve a problem Summarize Explain Writing is IMPORTANT!!!! – spend time discussing how it can be implemented in class and on homework Hanlonmath Hanlonmath
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Problem Solving Go back to definition Look for a pattern
Make a table or list Draw a picture Guess & Check Examine a simpler case Examine a related problem Identify a sub-goal Write an equation Work backward Go back to definition is very important, usually provides explanation student needs for understanding Hanlonmath Hanlonmath
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Definitions How do you derive … rules for logs
equations for conic sections rules for exponentials without knowing the definitions Hanlonmath
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Instruction Instruction check Practice test demonstrating pre-planning
Test reflect other high stakes tests Understanding of instruction Enlarge Hanlonmath Hanlonmath
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2nd Essential - Note taking
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Researchers - #1 Memory Aid - Writing it Down
Note Taking Researchers - #1 Memory Aid - Writing it Down Complete homework assignment Prepare for unit test Prepare for high-stakes tests Hanlonmath
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Rules and examples Hanlonmath TIMSS- Trends in Math & Sci Study -US
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Title Date Objective Vocabulary & Notation Pattern Development Rule
Examples Variation Hanlonmath
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Have kids write in their notebooks to clarify their understanding of concepts and skills
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Use simple straight forward examples to clarify initial teaching!
Increase difficulty later. Nothing ruins a good lesson faster than a bad example Hanlonmath Hanlonmath
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Note check Student notes reflect instruction
Contain title, date, objective, definitions, how to say it, pattern development, linkage, rules and exercises with developed rules White space Star * System Explanations ~ Cautions Hanlonmath
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3rd Essential - Homework
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Homework Homework should reflect what you say you value.
Vocabulary & Notation Conceptual Understanding & Linkage Basic Facts & Procedures Hanlonmath
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Make sure students understand the concept or skill
before sending home to practice Hanlonmath
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Practice Guided Group Independent Hanlonmath
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Homework Page 270, 1–32 odd Hanlonmath
Students think HW is about completing, teachers think it is about competing and remembering – there is more to it Hanlonmath Hanlonmath
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Homework-Studying Reading Thinking Reflecting Organizing Writing
Analyzing Visualizing Reviewing Remembering Recalling Note the components of writing and homework are almost identical – stress writing Hanlonmath Hanlonmath
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Homework Read Sec. 9.4 - Expressions involving logarithms
Define logarithm Write a procedure for converting logarithms to exponentials Explain why when multiplying logs with the same base, you add the logs log (AB) = logA + logB Page , 3, 6, 7, 9, 12, 13, 14, 21,23, 31 HW that encourages studying Can do it because first few problems in notes- take the excuses off the table Hanlonmath Hanlonmath
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Homework Read Sec 9.4 - Adding Fractions Define Fraction
Draw a model for adding fractions Write a procedure for adding fractions Explain the link between adding fractions and decimals Page , 3, 6, 7, 9, 12, 13, 14, 21, 23, 31 HW that encourages studying, can do it because first few problems in notes Note the writing portion of thr assignment Hanlonmath Hanlonmath
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Homework Assignment Sheet demonstrates thoughtful preparation
Addresses teachers time and clearly suggests a greater need for preparation Hanlonmath Hanlonmath
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Homework check A quick look at the homework assignments suggest the care teachers take to reinforce the daily instruction to help students prepare for unit, semester and other high stakes tests. Star * System Grading Homework Preparation!! Hanlonmath Hanlonmath
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Reviews Recently taught material Long term review Hanlonmath
Recently taught material Long term review Just like a tv continuation, review the previous plot Don’t let them forget Hanlonmath Hanlonmath
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Assessing Student Work
What do your students know? How do you know they know it? Hanlonmath
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1 + 4 3 = 7 12 If they can do this and can’t add frac with larger numbers, then ID the problem Hanlonmath Hanlonmath
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5 + 24 7 18 = 18 3 = 24 4 Reducing Method 18 = 3 18 x 4 = 72 24 x 3 = 72 CD = 72 Hanlonmath
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5 15 = 24 72 7 28 18 24 = 3 4 + = 18 72 Try that w/ alg fract 43 72 Hanlonmath Hanlonmath
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4th Essential – Test Preparation
VERY important – rubber hitting the road Hanlonmath Hanlonmath
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4th Essential- Test Preparation
Test what you say you value: Instruction – Assessment – Balance Questions reflecting other high-stakes tests Cumulative questions Practice tests - Parallel construction Setting a date About halfway thru unit, then 2-3 days before test with stars Hanlonmath Hanlonmath
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Testing drives instruction
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Differentiation 1355 ÷ 41 1355 ÷ 47 Hanlonmath
Look alike, one may be seen as tougher than the other We know that, parents don’t! Make sure the kids are prepared! Success on success Hanlonmath Hanlonmath
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Differentiation x2 + 7x + 12 x2 + 7x + 2 Leads to decisions!
Look alike – done very differently Hanlonmath Hanlonmath
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Tests Test Design Design tests that encourage study.
Test what you say you value Look at the 1st part of test – regurgitation type material the kids NEED to know to be successful, give them credit for knowing.. Like downloading Hanlonmath Hanlonmath
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Test Preparation Do you know what you are going to test your students on BEFORE you begin to teach a unit? Use the * System on notes, homework, and practice tests to to prepare for test Hanlonmath
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Practice Tests Parallel constructed; especially for students who have not experienced success in math. Blueprint & motivator Hanlonmath Hanlonmath
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Tests Monitor student learning Hanlonmath
Get involved early! Administrators should get with their teachers to review results Sept/Oct. Pract tests blueprint for increasing st achievement – motivator! Hanlonmath Hanlonmath
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Memory Aids Help your students remember Hanlonmath
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ABBA Hanlonmath
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SOHCAHTOA Hanlonmath
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Quadratic Formula Hanlonmath
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5th Essential - Tests Form A ~ Form B Hanlonmath
Pass out Form B for participants to review the assessment alignment and parallel construction Hanlonmath Hanlonmath
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Test Check Balanced assessment
Cover the assigned curriculum/benchmarks Questions reflect other high stakes tests Grades are fair Grades are portable Parallel constructed Hanlonmath
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Tests Are test results a reflection of instruction? Hanlonmath
My kids or those kids Hanlonmath Hanlonmath
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Organizing Student Learning
Making the connection - Instruction to Note taking to Homework to Test preparation to Tests Hanlonmath
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Organizing Student Learning
Helps students focus and study more effectively and efficiently resulting in increased student achievement Hanlonmath
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This organization strategy leads to
Transparency Credibility Trust Hanlonmath
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Summary Student-teacher relationships ~parent communication~
1) Understanding instruction 2) Notes that reflect & reinforce instruction 3) Homework that supports and reflects instruction 4) Test preparation 5) Parallel constructed tests Hanlonmath
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Today What ideas would you consider using? Hanlonmath
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What are you willing to do?
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Next steps What are you willing to do to increase student achievement?
Explicitly go over expectations with staff in August Parental communication Observe instruction in September/October with emphasis on “5+1” and understanding Collect grade distributions for 1st unit test Conduct pre- and post- observation conferences within a week and provide meaningful suggestions, recommendations, or directions that improve instruction Continue observations, conferences & monitor grade distributions Adminitrators Hanlonmath Hanlonmath
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Next steps What are you willing to do to increase student achievement?
Create pre tests that reflect unit and other high stakes tests Parental communication Introduce new concepts and skills using concept development or linkage Be more prescriptive & directive with notes that reflect instruction Create homework assignments that encourage study Use star * system in notes, homework & practice tests Create parallel constructed tests Teachers Hanlonmath Hanlonmath
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Recommended Next Steps
These students will become … Hanlonmath Hanlonmath
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Contact Information Bill Hanlon Hanlonmath
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