Summer Reads from The Hoot!

Sit back, relax and embrace the gift of time with Anne’s 2021 summer picks

Summer gives us the gift of time to read for pleasure with longer days, warmer weather, and more sunlight. Let’s see what our reading can look like this summer whether you’re sitting on a beach, on a road trip with your family,  in a bunk at summer camp, or just relaxing. After a year of quarantining and isolation, let’s make it a goal to turn off our phones and shut off computers to experience the joy of turning pages - paper or digital.

With that in mind, here are some of my favorite summer reads to consider. They run the gamut of gripping, endearing, educational, inspiring, and entertaining, so be sure to check them out. I’ve made sure to include something for everyone, so feel free to share the list with friends and family as well. Have a great summer filled with happy reading! 

Parents

• Deacon King Kong by James McBride: “Some novels about city life are poems of alienation, interior portraits of the existentially isolated, but James McBride’s vision of New York is one of overwhelming human profusion.” (New Yorker)

• A Place For Us by Fatima Farheen Mirza: Mirza's book gets to a universal truth: To be part of a family is to learn how to be more than one person, how to remain an individual while fulfilling the duties we have to those who love us, who made us. It is almost never easy; it is sometimes, in fact, impossible.” (NPR)

High School

• Oasis by Katya Becerra: A supernatural thriller about six teenagers stranded on an oasis in the desert

• Clap When You Land by Elizabeth Acevedo (novel in verse): Two teenage girls realize that they share a father

• Found by Joseph Bruchac: After witnessing a crime, Nick survives in the wilderness to escape the murderer

• Girl, Unframed by Deb Caletti: While spending summer with her movie-star mother, Sydney, 16, finds love but also finds danger

• This Is My America by Kim Johnson: Teenager Tracy fights against racism in the justice system

Middle School

• Danny Constantino's First (and Maybe Last?) Date by Paul Acampora: A Middleschooler, Danny reconnects with an old friend, who is now a celebrity

• Raising Lumie by Joan Bauer: Newly orphaned and living with the half-sister, Olive, 12, rediscovers hope when she trains a guide dog puppy

• Catherine's War by Julia Billet (graphic novel): Set in France during WWII, Rachel Cohen must goe into hiding after being separated from her parents

• One Last Shot by John David Anderson: Malcolm, 12, takes up miniature golf to make his athletic father happy

Elementary School

• You Can Do It, Yasmine by Saadia Faruqi

• Benny McGee and the Shark by Derek Anderson

• The Boy Who Grew Dragons by Andy Shepherd

• Great Escapes (five historical fiction books) by W.N. Brown

Happy summer from KQ!

Written by Anne O’Reilly Connerty | Reading Specialist at Keating Quigley Educational Advisors

Reflections on Fatherhood

By Dave Olson, Former Middle School Head at Sacred Heart Greenwich and incoming Executive Director at the Waterside School, Stamford, CT

I am the proud father of an 11-year old son. I came to parenting later in life than many and had already spent more than 20-years as an educator before our son was born. Working with countless children and their families over the years has allowed me to develop some expertise, especially in the middle school years. I forever encourage parents to embrace the unpredictability of childhood and stay focused on the remarkable development their children will undergo over the span of their many years in school rather than focusing on the day-to-day successes, frustrations, and challenges.

Fatherhood has helped me embrace how difficult this is and has allowed me to learn the following additional truths:

It’s Not About You

I purchased a baseball glove for my son when he was three days old and soon after mounted a mini-basketball hoop in his bedroom. While I knew the pitfalls of being an overbearing parent I couldn’t resist exposing him to the things I loved and kept telling myself that I learned some of my greatest lessons through playing sports and being involved in competition. It turns out that my son has a mild interest in traditional sports, but really loves to read, skateboard, and create things with technology. Of course, my wife instantly fanned the flames of his interests, while I struggled to let go of my dreams of collegiate athletics, the Olympics, and additional feats of greatness in multiple sports. I am a recovering overbearing sports parent and working on supporting his interests so that he will continue to learn the valuable lessons that come from hard work in any venue and that he will experience the joy that comes from doing something he loves. I have even learned various skateboard terms like an “ollie” and a “frontside 180;” certainly I must be the hippest and proudest dad at the skatepark.

Be Present

One of my most salient fatherhood realizations is that my needs are secondary to the needs of my son. Being a father requires me to put the challenges of the day away when entering our home each evening so that I can be fully present for my son and wife. This is a work in progress. Thankfully, though, I have the most remarkable wife who picks up the slack regularly as I fall short. And while the pandemic created numerous profound challenges for schools and families, I found that it created greater opportunities for fathers to be more present in the lives of their children. We had a record number of working parents, many of whom are dads, participate in various virtual events this past year such as parent-teacher conferences. My hope is that fathers enjoyed the experience of being more intimately connected to their children’s education and that schools will continue to offer virtual options to encourage attendance. In addition, being quarantined for the spring of 2020 provided a profound experience for me as my son and I spent each afternoon playing outside together (yes, I “inspired” him to master the finer points of a jump-shot). When returning to in-person learning for the beginning of the 2020-2021 school year he earnestly asked “can you come home early from school each afternoon so that we can spend time together?” This hit me hard as I have spent so much of my life serving my various schools. Once again I am on the rocky road of mastering the simple concept of being present in my son’s daily life.

Enjoy the Ride

I often lament the lack of simplicity in the 21st Century, which is compounded by my tech skills as I am somewhere on the spectrum between a Luddite and digital native. Just like working in schools, being a father has forced me to embrace the sloppiness of each day and not get hung up on my utopian dream of having things arranged in vertical columns with neat bows. I am working on letting go of perfection, not getting sidetracked by complications, and simply enjoying time with my son. 

I salute all dads as we approach Father’s Day and encourage all to celebrate your small victories while remaining committed to being selfless, being present, and enjoying the greatest gift of being a father.

Reflections On The School Admissions Process

Independent school admissions decisions are out and deposits are in, and the verdict... accepted, waitlisted or denied. For some, the outcome was just what they wanted, a spot at the school of their dreams. For others the decision was disappointing because they are on  a waitlist , or worse yet, denied. So what does this all mean?

Before I go on, I should tell you that my approach to school admissions is centered on self reflection and acknowledgement. I challenge you as parents, to take a non-linear approach to the school search by not making the process about a means to an end. Instead, push yourselves outside the box and use this as an opportunity to help your child build life skills. Life skills? What do they have to do with applying to schools? First, let us think about a few: admissions interviews, applications, school research, writing a resume, and time management. These are skills that all of us have to develop and use throughout our lives. So, why not start early?

“Learning without reflection is a waste. Reflection without learning is dangerous.”

-Confucius

The first step in this exploration starts with your child and getting them to understand who they are as an academic, a person, and general member of society. At this point, you are probably wondering at what age children can start identifying these skills. A middle schooler, with coaching, can easily start pinpoint some of their characteristics and qualities. Do not underestimate your child’s ability to recognize their strengths and weaknesses! 

I would argue that regardless of the admission decision, it’s important to reflect on the school selection process. What did you learn about yourself as a parent? What did you learn about your child? And last but not least, what should you be doing as a family going forward? For parents of middle or high school students, this should be viewed as an opportunity for your child to reflect upon their profile. Okay, so this sounds interesting... but, where do I go from here?

Take a step back before you move forward and ask yourself or your child:

• What did I or my child learn about their character?

• Did I/they discover anything new about their academic profile?

• Are extracurricular activities a significant part of the child’s life?

• Should we consider academic support or enrichment?

• Have I/we adequately researched and addressed the school programs that are a “best fit” match?

• Did we put enough emphasis on the school community and environment?

• Was the application process an emotionally balanced experience?

• Did I empower my child in their school search?

Do not feel like you have to have one big conversation about this. Instead, use this as an opportunity to start a dialogue. You might want to consider putting pen to paper before engaging in conversation to show that you put time and thought into understanding their school search. We all know how hard it is to strike a conversation with our middle or high school students. Seize the moment!

While many of you might be thinking, “my child has a spot in their first choice school so what’s all of this reflection about?” These are questions every parent should be asking themselves periodically as their child navigates their educational journey. Take a pulse along the way, and make sure that your child’s school is still appropriate based on how they are developing not only as a student, but as a person.

For those of you who are still waiting for a spot or are planning on going through the school application process again next fall, turn a negative into a positive, and use this time to reassess your child, and their school list. You might find yourself wondering if you should have done things differently. Remember, it’s never too late to redirect your thought process, and change your plan.

Jacquie Quigley | Partner | Keating Quigley Educational Advisors

Ditch the flashcards: play these fun games instead!

There’s only one word to describe Alissa’s math workshop last week: ENLIGHTENING! It certainly provided us with a lens into today’s math teaching and methodology. The content was illuminating and the Q&A session covered thought-provoking topics. 

As promised, Alissa is sharing some of her top number fluency games to keep the math conversation going at home. Although it’s only April, we know that many of you are already thinking about the summer and how to keep your children engaged while they are out of the classroom. We all want to avoid the summer slide and even more so, the dreaded summer math packet! So grab a deck of cards, read her easy-to-follow instructions, and get ready for some fun quality time with the family! Remember, keeping your children engaged is half the battle when trying to instill a love of learning… 

One last thing: Alissa is available for group and one-on-one tutoring sessions, so email us any time to connect. And lastly…a HUGE thanks to Alissa’s kids for being such good sports and exemplary math game models!

how to Develop number fluency through fun exploration

Developing fluency with numbers starts with exploration. Leave the flashcards behind and give your children opportunities to play around with numbers in order to build confidence and strategy. Give them the option to use their fingers, number lines, hundreds charts, and tangible manipulatives. The more a child can visualize a number and its relation to other numbers, the more connections they can make. 

A deck of playing cards might be the best tool for practicing number fluency. Below are three games that can be used with children as an alternative to flashcards. Have fun!

Head to Head

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This game can be used to practice sums, differences, quotients, and products. It’s a game that not only encourages number fluency but allows students to practice communicating like mathematicians using the appropriate vocabulary. Additionally, students need to think flexibly about the operations in order to solve the mystery of the number on their heads.

Players : 3

Set up:

• Remove the face cards from the deck. You can add them back in when the children are ready. (J = 11, Q = 12, K = 13)

• Two players take a card from the deck and place it facing out on their forehead without looking at it. 

• The third player says the sum, product, difference, or quotient of the two cards. The first two players try to solve for the number value that is on their head. 

Example:

• Player A has a 3 card on their head. 

• Player B has a 6 card on their head.

• Player C might say, “The sum is equal to 9!” Player A would see the 6 on Player B’s head and deduce that they must have a 3 on their own head. 

War

This game is a fun way to practice all four operations.

Players: 2 or more

Set up: 

• Remove the face cards from the deck. You can add them back in when the children are ready. (J = 11, Q = 12, K = 13)

• Deal out all the cards equally to each player. All players turn over 2 of their cards and determine the sum. The person with the highest sum gets to keep all the cards. Play continues until one player has all the cards. 

Variation: This game can be played using sums, differences, and products. 

Target Number

I love this game because it can be played in pairs, small groups, or independently. It's a game that allows children to use any combination of all 4 operations if they are comfortable, or just addition and subtraction if they prefer. Later on, it can be played with older students using the order of operations and introducing parentheses. This is a game that can be adaptable as children’s skillsets grow. 

Players: 1 to 4

Set up:

• Remove the face cards from the deck. You can add them back in when children ready (J = 11, Q = 12, K = 13)

• Deal 5 cards to each player and leave them face up in front of the player. 

• Turn over one card and place it in the center. This is your Target Number. 

• Each player uses the 5 cards in front of them to create an equation that equals the target number. The goal is to use as many cards as possible. If playing against other people, the person who uses the most cards in their equation wins that round. If playing solo, the child should challenge themselves to use as many cards as possible. 

• For the next round, each player sets aside the cards they used and collects new cards from the center pile so that they again have 5 cards in front of them. Turn over a new Target Number. Play continues until all the cards are used up. 

Example:

• Target Number: 5

• Cards drawn: 7, 4, 2, 3, 1

• Child could play:  

  • 2 points:  4 + 1

  • 2 points:  7 – 2

  • 3 points:  (7 + 3) ÷ 2

  • 5 points:  [(7 + 3) × 2] ÷ (4 × 1)

Raising Fluent Mathematicians

In my last post, I introduced the notion of developing number fluency for our young mathematicians in order to help them be flexible, accurate, and efficient in their numerical problem solving. But what does it actually mean to be fluent in mathematics? And how do we support the growth of a fluent mathematician?

Let’s take a step back and first look at fluency in a more traditional context. A fluent reader is able to decode symbols on a page in a way that brings the meaning behind those words to life. They use appropriate phrasing and intonation to convey a character’s feelings, an intended message, or an author’s purpose.

A fluent language learner not only repeats the words they have learned, but understands the meaning behind the words in order to respond in a variety of ways to questions and comments given the overall situation.

It is widely accepted that we would not consider a reader fluent even if they could read 150 words per minute, but could not comprehend or explain what they read. Likewise, we would not consider a person fluent in a language if they rapidly repeated words and phrases, but did not use them appropriately in a given situation.

However, in mathematics we often equate speed with success rather than fluency. What is it about mathematics that drives us to be the fastest? We all grew up with the “mad minute” striving to answer 60 multiplication problems in less than a minute. We played games like “Around the World'' where the quickest student was deemed the winner, otherwise known as the smartest math student in the room. We spent hours each day with those relentless flashcards trying to beat our time and struggling to get through the deck. These days, not much has changed. Every iPad app that claims it will help your child master their math facts comes with a built-in timer, flashcards are still the go-to resource for many families, and those “mad minutes” are still causing anxiety for students.

When we speak about math fluency, our focus should be on the meaning behind the numbers and the connections they have to each other just like it is with language learning. However, with the emphasis placed on speed it really means we’re valuing memorization over understanding.

How often do you perform your job based solely on memorization? My guess would be not very often. As adults we rely on critical thinking skills, logical reasoning, analysis, and reflection to make the choices we do, both at home and at work. We should be focused on raising a generation of critical thinkers and problem solvers so that they can use these skills as adults in the workforce. Children who can reason abstractly and think logically are demonstrating that they truly understand numbers and do not just rely on memorization.

Memorization versus Understanding

The key difference between memorization and understanding is strategy. When a child memorizes something, it requires little to no strategy. Maybe they learn a cute rhyme (8 and 8 went through the door, 8 times 8 is 64!) or a mnemonic device (Who remembers SOHCAHTOA?) to boost their memory, but those aren’t connected to deep understanding. There’s nothing about 8 and 8 walking through a door that relates to that fact that 8 groups of 8 is a total of 64. This is not to say that memorization isn’t useful. It is good for things when the information doesn’t connect to something else - a street address, a phone number, a series of keystrokes on the Xbox controller, etc. When a student learns mathematics through memorization, that is the only thing they have to fall back on. If they can’t remember the answer, the rhyme, or the mnemonic, they get stuck.

However, when a student learns numerical operations through strategy, they can apply the strategy in a multitude of situations because strategies are flexible. Strategies connect concepts together. Strategies lead to numerical fluency.

The ultimate goal for students is to be flexible, accurate, and efficient in their numerical operations. And yes, at some point we do want them to be able to recall their facts in a relatively quick manner. At some point, students will need to begin using higher level thinking for things like factoring polynomials and graphing functions. If at that point they are still struggling with their basic math facts, this will just add to the complexity of the new concept and can cause frustration. But, for now, in elementary school, let’s give them the time to explore, to discover the relationships between numbers and operations, to test out different strategies, and to create a true understanding of number sense. Eventually, if students strategize enough they can get to the point where they use a strategy (or strategies) so often that it can become automatic and quick or efficient. By slowing down now and developing a true conceptual understanding, we have the option to speed up later because there will be fewer gaps to fill in.

So, if I’m saying throw away the flashcards, and get rid of the “mad minutes”, how then are you supposed to help your children develop numerical fluency? Join me on April 1, 2021 at 7:30 pm to discuss this and learn some practical strategies to help

Join us for a New KQ Workshop:

What is a Mathematician?
with Alissa Helgesen

Thursday, April 1
7:30 pm

Click here to register

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Written By Alissa Helgesen
Math & Workshop Specialist at Keating Quigley

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Offered by Keating Quigley Educational Advisors

Keating Quigley Educational Advisors is a Greenwich-based educational advising practice that partners with domestic and international families to provide highly personalized educational consulting services for Nursery through Grade 12 students. Services include school search support, essay guidance, social-emotional mentoring, relocation support, and enrichment workshops.

“My teacher doesn’t explain it that way!” Sound Familiar?

For years, families across the US have been hearing cries like this from their children as they try to support math schooling at home. This has only been amplified since COVID-19 became our new reality. One day our students were in school learning from trained math teachers, and the next day it was suddenly our responsibility to continue the process. As a math educator with three school-age children of my own, even I was not immune to these battles.

Cue the social media memes. “These homeschool children are about to learn how to carry the 1!” is my personal favorite. Another one that makes me chuckle is, “Why did they change math? There wasn’t anything wrong with it!” I’ve seen posts like these floating around for years, but now that we are all expected to support our children through distance learning, it’s become even more prevalent.

So, why can’t we do math the old fashioned way?

The short answer is, you can! There is no such thing as old math and new math. Math is the same as it has always been. Numbers still add up to the same sums, multiplication facts are still important, geometry is still about spatial reasoning, and word problems still use extraneous information. The main difference in today’s classrooms, from the ones we grew up in, is that teachers today are actively seeking ways to develop an understanding of mathematical concepts and not just memorization of algorithms.

Take for example, the above problem. The student who worked on this had clearly memorized a series of steps, or an algorithm to achieve success, but you can see that there is a lack of understanding of the concept behind the algorithm. If the student had understood how the numbers related to each other, he would have no need for the standard algorithm of "going next door to borrow" or regrouping in order to solve it. We are now focused on moving beyond memorizing such algorithms and moving toward a deeper understanding of mathematical concepts so that students understand how numbers relate to each other.

One way that we can build number sense is by making sure students can solve problems in multiple ways. If students have a true understanding of how numbers relate to each other, they should ultimately be able to utilize several strategies to arrive at an answer. It’s true that some strategies will be more efficient and some will take a more circuitous route to the answer, but that’s part of the learning process. Developing number fluency means that students are accurate, flexible, and efficient in their problem solving. Could you build an entire house with a hammer? Probably, if you were open to new methods and were flexible with your plans. Would it be efficient and easy? Definitely not. As educators, we help guide students towards choosing the best tool for the job.

Teachers have spent countless hours in professional development workshops, reading literature on best practice, and learning from experts how to develop a strong number sense in their students. Now all of a sudden, parents and caregivers are being challenged to navigate this type of learning at home with little to no instruction. Let’s be clear, this is not an easy task! Nor is it fair to expect the new homeschool teachers to know how to guide students through multiple strategies in order to develop flexible and efficient thinking. However, if our goal is truly to help students see multiple paths to solving a problem, then why not teach them the way we learned? It’s just another strategy after all.

But, before you jump into showing your children the standard algorithm, think about the words you choose and how you present the information. By declaring that your way is better, or faster, or easier, you automatically undermine all the other strategies that they may have already learned. The truth is, nobody’s brain works in exactly the same way and for some kids, using number bonds, place value charts, or visual representations are going to be the most beneficial methods at this moment in time. Knowing that there is another strategy out there, one that involves regrouping (please don’t call it carrying! You’re not taking it anywhere!) is, however, still beneficial.

When working with your child, first, take a deep breath. This is going to take some patience! Begin by offering to show them the strategy that works best for you. Take some time to explain the process you use when adding/subtracting/multiplying/dividing numbers. These students are used to being told WHY they are doing something, so they’ll likely have questions. Have them try your method out a few times and then they can try out their current favorite method as well. Giving students the opportunity to see the similarities and differences in the methods will help to solidify the concept for them. Older students will likely start to make the connection that the standard algorithm that we recall so easily is simply a shorthand version of the place value method they are using.

Let’s be honest, none of us have a lot of time to devote to this right now, so don’t panic: there are some fantastic free resources available like Khan Academy, that can help you through this with digestible how-to videos for grades K-12 covering all topics imaginable. And don’t forget that you can always reach out to your child’s teachers for advice: they will want to support you because they know that their students (fingers crossed!) are returning to their classrooms and so they have a vested interest in supporting continuity of learning.

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Written by Alissa Helgesen | Math & Workshop Specialist at Keating Quigley