Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty...

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Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC [email protected]

Transcript of Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty...

Page 1: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades

Presented by: Betty White, MEd., LPC

[email protected]

Page 2: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Where Are We Now?We now have 51% Poor in US Public Schools. These students have high needs for interventions of all types, including CSCP.

Page 3: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Where Are We Now?

The Texas high school attrition rate has declined from 25 % in 2012 to 24 % in 2013-14. At this rate, Texas will not reach universal high school education for another quarter of a century in 2035.

94,711 students were lost from our public high schools in 2013-14 Black and Hispanic students are about 2X more likely to leave school without

graduating with a diploma than White students. The racial-ethnic gaps are no better than 29 years ago.

Students from ethnic minority groups account for nearly three-fourths (73 percent) of the estimated 3.4 million students lost from public high school enrollment.

Schools are 1.2 times more likely to lose male students. See more at: http://www.idra.org/research/attrition/#sthash.Rz6m7hbW.dpuf

We MUST do whatever we can to keep these students successful and in school to produce career and college ready graduates. Comprehensive School Counseling Programs can help!

Page 4: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Lack of Education=Poverty

Poverty rate in single parent households headed by:

a high-school dropout, 60%. a high school graduate, 40%. some college, 30%, a college graduate, 10%.

Page 5: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Lack of Education=Poverty Poverty rate in two parent households headed

by: a high school drop-out, 24% a high school graduate, 10% some college, 5% aa college graduate, 2%EDUCATION MATTERS ! FAMILY MATTERS!Source: US Census Bureau 2010, American Community Survey 2005-09

Page 6: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Counselor’s Role in Success

School Counselors are in a unique position to see the WHOLE school, and to influence what happens throughout the school

YOU are the mental health professional for the school. You have the most training, expertise, and experience in the non-academic factors that influence achievement (and most of you have expertise in the academic factors as well.

YOU can establish a program that involves everyone in your school in contributing to the success of students in your school through a combination of classroom guidance, cheerleading, serving as a knowledge base, and promoting ideas that WORK.

You need to: AGREE on a clear personal path, BUY-IN to the ideas, and COMMIT to implementing them

Page 7: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

But What Can I Do as a Counselor?A meta-analysis of school counseling outcome research (117 studies, 153 school counseling interventions, and16,296 students) found an overall effect size of .30. Students who participated in the interventions improved almost a third of a standard deviation more than their peers who did not receive the interventions.

In other words, school counseling interventions have a larger effect size than aspirin for preventing heart attacks (ES of .06) and an equivalent effect size to sertroline (“Zoloft”) compared to placebo, for treating major depressive disorder (ES of .31).

Whiston & Quinby (2009). Review of school counseling outcome research. Psychology in the Schools, 46(3),

267-272. Schatzberg & Nemeroff (2009). Textbook of Psychopharmacology. Arlington, VA: The American

Psychiatric Publisher

Page 8: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Counselors Can….. High school students in schools with

comprehensive school counseling programs are more academically successful, as measured by GPA. Lapan, Gysbers, & Sun (1997).

Page 9: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Counselors Can…. Students in schools that provide counseling

services indicated that their classes were less likely to be interrupted by other students and that their peers behaved better in school. Lapan, Gysbers, & Sun. (1997).

Page 10: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Counselors Can…. School counseling classroom curriculum

designed to educate HS students about goal-setting, problem-solving, career exploration, and school resources has been found to significantly improve student behavior, attitude and knowledge in these areas. Schlossberg, Morris, & Lieberman (2001)

Page 11: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Counselors Can…. A comprehensive drop-out prevention

program involving counseling and tutoring significantly helped at-risk students in improving school achievement, self-esteem, and classroom behavior. Edmondson & White (1998).

Page 12: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Poverty and StressStress can be good for us if it is:

1. Short term

2. Ends with more positive than negative

Chronic stress is toxic to the body and brain1. Poor children are exposed to more and

longer lasting stressors.

2. Poor children have fewer coping skills than their higher SES counterparts

(Evans, G.W. and Kim P., 2007)

Chronic stress creates emotional problems, lowers IQ and reading scores, causes memory loss, shortens dendrites, causes neuron death, and fosters inappropriate attachments.

Page 13: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Managing Stress Give students a sense of control-as control

increases, stress decreases Cognitive Skill Building Mindfulness training/Yoga Classroom/schoolwide Rituals Wait Time Leadership Roles Self-Regulation Skills Social and Communication Skills

Page 14: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Giving Control to Upper Grades Upper grade level students value

independence-they like to feel that they are “in charge” of their learning

Using tools to promote the idea that they are the masters of their learning helps to get buy in from them and promote self-determination

Page 15: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Self-Analysis

Growing as a student involves not only knowing what you have to learn, but understanding HOW you learn best and what type of learning environment is most effective for you.

Analysis can be done with groups or with individuals-preface any screenings with “There are no right or wrong answers. The most important thing about this test is that you be honest. If you are not honest, we will get a picture of a student who does not exist, and that will not help you.”

Page 16: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Beginnings

Begin with the questionnaire “What Kind of a Student Are You?” This is a good one to get basic information, and to provide you with a measure of the honesty of the student you aare working with. You can do it orally if the student’s reading level is very low, but oral presentation generally skews the results towards the positive side.

Page 17: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Intelligence Styles

The next level of evaluation involves intelligence styles. This is a good beginning, as it allows students who may think they are not smart see that they have areas in which they are strong. Again, this can be presented orally to students who are not strong readers. It is important for students to total their own points for each area of the questionnaire, and determine which are their strongest intelligences.

Page 18: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Intelligence Styles Following the completion of the inventory,

have students complete the Helping Yourself Learn. If this is done with a class, it can help to have students group according to their primary intelligence and brainstorm, then shift to their second intelligence and brainstorm, and so on. The idea is to get as many suggestions as possible that would help them learn.

Page 19: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Learning Styles Students can complete and score their own

learning style inventory. It can be useful to either have a teacher or a friend complete the learning style observation inventory and compare the results. This activity is followed by having students go over the Learning Styles Tips and highlight those they think they might use.

Page 20: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Learning Environment The Learning Environment Survey is

considerably more sophisticated and detailed. It is most useful with older students, who may have more insight about their teachers and teaching style. It is especially useful for students entering college, where they can choose classes whose professors are most compatible with them.

Page 21: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Universal Strategies Universal strategies are things that can help

students be successful in a variety of environments. They can be applied across settings. Usually, these are memory or organization tools

Page 22: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Learning And Organization Mind Maps Scaffolding Mnemonics Peg Systems Organization (Getting it Together)

Page 23: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Peg System

A peg system is useful when children have to remember lists of things

Students from 2nd grade up can remember a peg system

A peg system uses a picture matched to a number that remains the same

Students link to a peg system by imagining the things to be remembered associated with the peg images

Page 24: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Peg System “Pegs”

1. Sun2. Shoe3. Tree4. Door5. Hive6. Sticks7. 7-Up (Heaven)8. Gate9. Line10. Hen

Page 25: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Using the Pegs

Suppose the list to be remembered is:1. Orange Juice2. Milk3. Apples4. Bread5. Peanut Butter6. Honey7. Cereal8. Dog Food9. Tuna10. Waffles

Page 26: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Using the Pegs

1. Picture a sun pouring out orange juice

2. Picture a shoe filled with milk

3. Picture a tree covered in apples

4. A door opening and a giant loaf of bread coming through

5. A beehive spread with peanut butter

6. Sticks sticking into a honeycomb with honey dripping out

7. A bowl of cereal with 7-Up poured over it

8. Dog food pouring through a gate

9. Cans of tuna in a line

10. A hen with wings made of waffles

Page 27: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Do Study Skills Work?

Generic Study Skills have an effect size of 0.45, slightly above average.

Relational or Subject Specific Study Skills have an effect size of 0.77. When you teach note-taking and study skills that are specific to a subject area and are in context, you increase their value tremendously!

(Biggs and Purdie, 1996)

Page 28: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Content Specific Study Skills Introduce a subject specific study sequence or model

early in the school year-post it on the wall Every time you use part of it in class, refer to the

chart When a student is working, ask, “Where are you at

now on the chart?” Resource:

http://www.memory-improvement-tips.com/best-study-skills.html

Page 29: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

The Working Memory Advantage Dr. Tracy Alloway, in 2012, stated,” I have

spent over a decade leading several major projects to understand the link between brain function and education, and I have found that Working Memory is the #1 predictor of learning success.

Page 30: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Working Memory Working Memory is the driver of cognition It is necessary for math, language, problem

solving, prediction and all higher order thinking skills

It is a TEACHABLE skill and you can help build it in students.

Page 31: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Building Working Memory Add new required vocabulary and review and

reward use File Folder or Basket activities Simon Says with add-ons Repeat Directions Spell 4-10 letter words forwards/backwards Grow sentences, paragraphs, stories Number sequences forwards/backwards

Page 32: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

More Study Skills

1. Reasoning is a teachable skill. The two ways to teach reasoning with the highest success rate are:

Interactive Dialogue

(Questions and Answers)

Thinking Models

(Davis, Haworth, Plomin,2009)

Page 33: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Building Reasoning Skills with Questions

What led you to say that? How does this differ from ______________? If that is true, what else could be true? How do agree with _______________? How do you disagree with _______________? Tell me more about your answer. How does that tie in with ________________? What is the evidence for saying that? Can you show me why that’s true/false?

Page 34: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Questioning Sequence1. Discovery Questions(Let’s do word associations. I say environment, you say_____.”

2. Essential Questions(How does the environment impact your own life and whay does that matter?)

3. Elaboration Questions(How does a natural environment differ from the environment in a

lab or a building?)

4. Evidence Gathering Questions(What evidence supports your case?)

Do Better Questions Support Achievement?

YES! Use of probing questions and affirmative inquiry had an effect size of 0.82 (Hattie, JA and Yates, CR 2013)

Page 35: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Build VocabularyEffect Sizes:

1. Giving partner a description of the new word- 1.53

2. Working out meaning from context- 1.59

3. Express new word non-linguistically-(gestures, movement, pictures, mind map)- 2.27

4. Redefine the new word in their own words-1.27(Marzano, RJ 1998)

Page 36: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Vocabulary Building

Use words that are on the test and get their attention Have a “Word of the Day” Give credit for sharing the weekly word with 3 others Develop writing assignments with the new words Kids “catch” teacher whenever new word is used Extra credit for speaking or writing the new word Teacher role models complex words Give concrete, adult examples Model adult response to unfamiliar words

If every teacher, every day, introduces one new word and reviewed the last 5 words, the results are amazing!

Page 37: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Build Reading

Adults throughout the school role model reading Teacher shares a book a week and is enthusiastic-can be

related to subject matter Provide books for their homes- even in upper grades Teach phonemic awareness (not just at lower grades) Build working memory every day Teach text comprehension tools Read daily for fluency Add 5+ words to vocabulary per week

Page 38: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Build Writing

Start small daily and build (Summarize ______ in 5 words.) Ask them about problems in the world or community that

need to be solved. Have them pick the one they are most passionate about, and write about it. This gives them voice.

Allow them to write about, “Five things to do before I die.” Daily journals-be sure to read and comment Weekly gratitudes Affirmations Personal reflections

Page 39: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the FutureCampus-Wide Suggestions- Middle to High School Transition

Try to have every middle school student on the same plan of organization. When all students and all teachers are on the same page, it is easier to keep everyone on track. The sample of how to organize a notebook in this guide is a good example.

As soon as possible, meet with middle school kids and begin to talk about possibilities for the future. Beginning classroom guidance sessions on goal setting, decision- making, and career development are good choices to “hook” the kids on planning. Goal-setting in particular should be an ongoing process that develops throughout the middle school years.

Page 40: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future Enlist members of parent groups, volunteers, or local

businesses for a career fair. Have them produce want ads for their positions. Then, have students “apply” for the jobs. On the day of the fair, students can complete 4-5 brief interviews, and the employers and “hire” students. This process is a natural precedent to a job-shadowing program.

HB 5 guarantees (almost) you a captive audience with parents and students for planning, Take advantage of this time to promote programs in your school, to foster positive parental relationships, and to promote achievement and engagement. Emphasize to parents that one of the largest indicators of student success is parental expectations.

Page 41: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Parents Matter !! A meta-analysis conducted by WH Jeynes in 2005 looked at 77

studies involving 300,000 students on the effect of parental influence on educational achievement. These studies were split between Elementary and Secondary students. He found that:

Strong parental involvement had an effect size of .5-.6 The greatest effect size was in parental expectations,

followed closely by parental activities involving time spend with kids, such as reading and conversing.

Helping parents learn ways to be involved with their kids is a sure-fire way to build achievement.

By the way, student expectations have an effect of 1.44, and teacher expectations have an effect of 1.03. (Coe, R-2002)

RAISE THAT BAR!!!

Page 42: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Relationship Builders

1 and Done

Do one favor or connection or show of empathy so powerful students remember it

2 for 10

Invest 2 minutes a day for 10 consecutive days with a student who most needs a connection

3 in 30

Discover 3 things in addition to names about every student you have in the first 30 days of school

Page 43: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future Meet with parents and students and present them with a timeline for high

school and beyond. This is a good time to talk about what colleges look for, what opportunities are available in your community, and to help de-mystify the process of higher education for both parents and kids. Think about forming a “support” group to help parents encourage their children to plan for the future.

At planning time, try to have some high school students come and talk to middle schoolers about higher level classes at the high school. These kids will do a lot to allow uncertain middle schoolers realize that “real” people take these courses.

Work with high school math and science teachers to have students put on “science circuses” or number sense demonstrations. These types of activities are a powerful recruitment tool. Local universities often have similar programs for outreach.

Page 44: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future Plan a middle school college fair. This can be an opportunity for college

reps to talk to both parents and students about what they offer and how to access their programs. They can also let students know about dual credit programs available, financial aid, and so on.

Consider some type of rapid remediation program designed to bring “at-risk” students who are performing below grade level in core subjects to advance and gain skills rapidly. The same type of program can be used to advance over-age students to appropriate grade levels with achievement.

“Adopt-a-School”, “Adopt-a-Class”, and “Adopt-a-Grade’ are all ways to get community and business people onto your campus and expose students to positive, educated, adult role models.

Utilize some sort of a mentoring program to help students feel connected to school and to help keep in touch with needs and problems.

Page 45: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future Transition from Middle School/Jr. High to

High School Transition from dependence upon parents to

teachers Transition to world of work Transition to college/life-long learning Teaching self-determination

Page 46: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future

Helping Middle & High school students prepare for the future is a multi-step process. It involves:

Teaching them academic competencies, such as organizational skills and study skills, so that they can be successful in the classroom.

Educating them and their parents as to what opportunities exist and what is needed for them to access those opportunities.

Exposing them to a variety of careers and academic pathways, so that they can determine what interests them and use that information to plan for the future.

Teaching them goal setting and decision making skills and following through with the process so that they set long term goals for their futures.

Remediating academic deficiencies so that they are able to take necessary courses in high school to prepare for higher education.

Page 47: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future Providing positive adult relationships at school to support the

process of goal setting (and achieving!) Providing positive relationships with young people (high

school and college age) who can serve as mentors. Teaching them that obstacles are a part of life, and helping

them to anticipate possible “roadblocks” and plan for success. Promoting grit and perseverance.

Promoting a school atmosphere in which academic success is as important as athletic success.

Helping them to learn about themselves and how they learn best, so they can be successful.

Following through by providing information as appropriate to high school counselors so that they can help continue the process.

Page 48: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future There are many free resources on the internet

that can help you and your students determine interests, and strengths

A good career interest inventory is available at www.bls.gov .

The Casey Life Skills Inventory is available at

www.caseylifeskills.org and assesses skills in several areas

Page 49: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Goal Setting

Research shows that students who have goals are less likely to make poor grades, drop out of school, become pregnant, get involved with drugs, or get involved with illegal activities

Some students naturally set goals or are taught by their parents, but most need help learning to set goals

Goals setting should begin with short term goals and progress to longer term goals

All teachers should participate in goal setting for themselves and for students

Page 50: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Goal Setting

Page 51: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Goal settingBIG Goals are long term goals-

You also need short term or micro-goals-

Let’s try it:

What is one BIG goal for your school upon your return from this workshop?

What are the smaller goals you will need to accomplish to reach it?

Page 52: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

Preparing Students for the Future The AIR self-determination scale is useful to

look as students ability to set goals and advocate for their needs. It is available online at www.ou.edu/zarrow/sdetermination.html

Page 53: Unlocking the Winner Inside: Success Strategies for Middle and Upper Grades Presented by: Betty White, MEd., LPC kidtools@academicplanet.com.

ResourcesBy Eric Jensen

Teaching Students with Poverty in Mind

Engaging Students with Poverty in Mind

Tools for Engagement

Turnaround Tools for the Teenage Brain

By Doug Lemov

Practice Perfect

By Martin Seligman

Learned Optimism

By Barbara Frederickson

Positivity