Making Math into Games: Activities in the Classroom and at Home

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Take it from me, a self-proclaimed math loather: when math concepts just do not click, the fallout can be extremely frustrating for kids. No matter the age, a student in the classroom or a child at home can quickly become discouraged when the math just doesn’t add up. For these children, who struggle with the ins and outs of successive math courses, real-world concepts and engaging activities can make all the difference.

Trick-or-Treat Math

This is the perfect seasonal opportunity for kids to apply real-world concepts of money, numeric relationships and directions to engaging activities that secretly build multiplication, division, analytic and ratio skills. Before trick-or-treating, have kids rate their favorite Halloween candies from 1-10, 10 being their absolute favorite. Then, help kids set up a candy bargaining/trading activity, in which they base their trades off of a certain candy’s rating. For example, if Reese’s Pieces are ranked as a 10, but Twizzlers are a lowly 2, help your children identify how many Twizzlers it would take to equal the ranking of Reese’s Pieces. Help them throughout the trade by prompting them with mathematical questions like, “If cherry lollipops are favored twice as much as orange lollipops, how many orange would I have to forego for 3 of your cherry pops?” Or, “If you have 60 pieces of candy from trick-or-treating, and I allow you to eat 1/10 of your candy over the weekend, how many pieces can you eat on Saturday if you want to eat 4 pieces on Sunday?” (**DISCLAIMER for educators—if you plan to allow for Halloween activities in the classroom, be sure to double check with parents about any allergy/dietary restrictions.)

Scavenger Hunt

A scavenger hunt activity is always good for embedding discrete mathematical practices. Provide students with different word problems and accompany each problem with a “clue envelope.” Each time their group correctly works through a word problem, provide them with a clue to lead them closer to the treasure. This activity allows for plenty of options for differentiation, including high/low grouping, varying levels of word problems, options for graphics or manipulatives, etc. Depending on student needs and abilities, math problems could involve multi-step word problems, multiplication flashcard races, geometric matching, placing items in size order, rounding to nearest tenth/hundredth and matching equivalent fractions. Perhaps the treasure could be a homework-free pass, prize tokens or extra recess time.

Shaving Cream “Swat”

It may be messy, but shaving cream swat games using mathematical equations can bring a ton of energy to a typically dry math review. Depending on age and ability, groups can swat basic multiplication problems, the next shape in a pattern, addition/subtraction problems, etc. The possibilities are endless so long as the planning and frontloading are in place. Educators will create math challenges on index cards for groups to solve. While solving, the teacher will provide answer options written in shaving cream on paper plates—kind of like a multiple choice selection. Groups will race to “swat” or “splat” whichever answer they agree on using a fly swatter. The caveat, of course, is the clean-up. However, this group activity never fails to drum up enthusiasm when completing a math practice or review.

With a little planning and preparation, these games can reinforce math concepts and build skills in new ways that will get even the most hesitant learners to join in the fun!

How to Acquire New Vocabulary: At the High School Level

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A robust vocabulary is a key asset when it comes to college and career readiness. I like to equate vocabulary acquisition to a toolbox—the more expansive your toolbox, the more capable you’ll be when fixing, creating, building and assisting. Much like having the right tools for any task at hand, we need to be able to communicate using different manners of speech and appropriate word choice for any number of scenarios. Yes, a hammer and nail can prove to be helpful; however, there are certain to be instances where the job requires more than the standard basics.

Alright, enough with the analogy—how can high school students continue to build a strong repertoire when it comes to vocabulary? Let’s take a look!

Vocabulary instruction and acquisition has drastically changed in even just the last 10 years. My own flashbacks of flashcards (see what I did there?) and rote memorization, while sensible at the time, have proven to be of little assistance to students. Instead of pounding definitions of vocabulary words and teaching terms in a vacuum, disconnected from any real usage, students need more of a real-world approach to adopt new words into their own vocabulary. Exposure is key when it comes to boosting vocabulary at the high school level. In order for students to begin to acquire and use new vocabulary naturally, they must be exposed to a term in both frequent and various contexts.

Consider the term multifaceted—a standard dictionary definition of this word is “having many facets or aspects.” Okay, but what does that really mean? If we want high schoolers to begin to make sense of the word in various contexts, we must model the usage of such terms at home and in the classroom. This accounts for cross-curricular instruction, as well. For instance, students in a geometry class might use multifaceted in the literal context to describe an object with many sides. Similarly, in science, students may examine a crystal or other prism to see how sunlight converges on a multifaceted object. Quite conversely, however, an English or history class might use multifaceted to describe a character or famous person from history with many diverse skills or strengths.   

Another way to look at a term such as multifaceted is to use Latin or Greek roots and affixes (prefixes and suffixes). You don’t have to go into an in depth linguistic study—instead, use a cliff notes-esque approach. When introducing such a word, pair it with other familiar words with the same prefix, like multipurpose, multiplication, multidimensional, etc. Prompt a conversation about what all of these words have in common. Then examine faceted—ask students if this word is familiar or if it reminds them of any other word. For some high schoolers, facet is already part of their vocabulary; for others, you may want to scale the conversation down to “facets sounds like faces, so a multifaceted object has many faces or sides.” These word analogies take memorization to another level. Not only do learners equate the new word to a simpler, already acquired term, but they also derive meaning from the relationship between the terms to help solidify the meaning into memory.

Equity

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Equity, as far as the Oxford English Dictionary is concerned, is defined as “the quality of being fair or impartial.” Simple enough, right? Yet, at home with children and teens, the concept will probably require further conversation to teach kids not only what equity means, but what it looks like.

One way to begin teaching children about what it means to be equitable is by teaching them what is not equitable. Contrary to what many children believe, equity and equality are not synonymous. By this, we mean that equity does not signify that everyone receives the same thing, whether that be treatment, assistance, gifts, awards, allowance, etc. Instead, equity means that everyone receives the same level of what they need. Again, this concept could be difficult for children to grasp, especially when fairness becomes a point of contention.

When parents need to put the focus on equity, not equality, they can begin by explaining the reason behind certain parental decisions. For example, Alex is 6 years old and Abe is 16 years old. Both boys perform chores around the house for an allowance. However, because the stark age difference significantly distinguishes each child’s ability to perform certain chores, tasks and allowances will not be equal—but they will be equitable. Let’s look at the details: Alex, the 6-year-old, feeds the fish, sorts his laundry, and helps put groceries away. For these age-appropriate tasks, Alex receives $5 a week as his allowance. This amount is enough for Alex to buy a book at the school book fair, which he desperately wants.

Now Abe, the 16-year-old, completes chores for the family, as well. Since Abe is older, he is trusted with the responsibility of walking the dog every evening, mowing the lawn, and helping clean up after dinner. For these tasks Abe receives $30 per week, which he puts towards gas money. While this example is hypothetical, a scenario like this makes sense for explaining equity. Abe and Alex are both contributing to household chores. However, the level of work, and therefore the level of pay, differs to suit each boy’s needs.

Another way to explain equity to children is to use an example that they have likely encountered in every parking lot—the handicapped parking spot. Much like the school accommodations for students with special needs, handicap parking is an accommodation to ensure equity for drivers with disabilities. Obviously, handicap parking spaces are not equal to all of the other spots—they are much closer, more convenient, and sometimes larger. However, equality among parking spaces would mean that the parking lot is inequitable for drivers with special needs. Remember, children need to realize that equity involves everyone getting what they need. An able-bodied person does not need to park closest to the entryway of a building, but a handicapped person does. The designated spaces ensure that they receive what they need, which in this case is an unobstructed parking space that is close in proximity to where they are going.

Key takeaways for children and teens is that fairness, equality, and equity are not synonymous terms. Equity revolves around each person’s individual needs and circumstances. Remind your children that we may not be aware of a person’s individual needs. Therefore, if it appears that someone else is getting “special treatment,” consider the obstacles, limitations, or other factors that may be at play. What appears to be unequal is often equity at work.

Homework Help for Families with Several School-Aged Children: Pt. II

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As we have discussed, homework time can be innately chaotic for families, especially when several children need parental guidance at once. Since we really can only be in one place at one time, it helps to have a grab bag of possible solutions for the nights when everyone needs homework help.

In addition to the tips in the previous blog, there are more tricks of the trade to help monitor and manage homework for multiple children under one roof.

Use all available downtime to your advantage. Just as we suggested utilizing alternative times for homework completion, such as a morning routine for your early risers, other downtime can and should also be utilized. For instance, elementary schoolers can squeeze in a little more study time on the commute to school. Whether in the car or on the bus, encourage them to bring multiplication/division flashcards or spelling words along for the drive. Not only does this practice provide a pocket of extra time for review, but the process also helps to boost confidence before going in for a quiz or assessment.

Use class time wisely. In addition to the car ride to and from school, encourage your children to make good use of class time. Often times, teachers will provide anywhere from 5-15 minutes at the close of the lesson for students to begin that night’s assignment. This benefits the teacher, in that she is able to gauge who may have struggled with the day’s objective, or who may have missed important directions or notes during the lesson. This is also a benefit for students, as it allows them to get a jumpstart on or even complete their homework in class. Be sure to stress that your child should be sure to focus on instruction first—homework should be completed only if and when the teacher has allowed the class to do so.

Take advantage of after school help. Another option is to encourage your child to attend after school help sessions on a weeknight. Of course, with athletics and other extracurricular obligations, this could be difficult to manage. However, there are several benefits to the after school homework organizations run by the schools. First, many children are more patient or willing when one of their teachers is providing the homework help, as opposed to a parent. Sometimes, as much as we would not like to admit it, homework becomes a losing battle of tears at the kitchen table. The teacher acts as the mediator of the work, leaving parents free of the stressful battle.

Additionally, since children will be getting help from his/her teacher at the after school work sessions, they will essentially receive additional one-on-one instruction with the teacher who knows exactly how the assignment should be completed. Finally, after school homework programs often provide transportation home via an activity bus. Therefore, the work session can serve as an extended school day, but with no inconvenience to anyone’s schedule.  

Set a few ground rules for your children when they are completing homework assignments. No matter the time of day, ensure that children and teens take a break if and when frustrations flare. Homework is stressful as is, but when the tears or tempers start, it becomes a near impossibility. Instead of insisting on working through the frustration, suggest some cool off time. Anything from 5-10 minutes can help bring down a child’s stress level and allow everyone to get back into a productive mode. Additionally, be sure to enforce time parameters for help. For instance, tell your teen that there will be no late-night, last-minute shopping sprees if he decides that he needs materials for a science project the night before it is due. Similarly, make sure they know to ask for editing or proofreading help well before the paper is to be due. This alleviates any stress from having to cram in a last-minutes work session.

Getting Through Homework Time with Multiple Kids

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A child’s homework routine can make all the difference at school. Even at the elementary level, a consistent homework plan helps young students to develop good study skills, as well as a strong foundation for time management, organization, and responsibility. But what happens when homework time becomes a jumbled rush for completion? This is the case for many families when siblings of varying ages need guidance to complete their homework. With the craziness that is the average school night, parents can only do so much when it comes to homework help. Logically, a parent can only help one child at a time—so what are some strategies to ease the stress of homework time for a family with multiple school-age children? Read on to find out!

Keep everyone organized by planning and maintaining a consistent homework routine. This should include specific homework times and areas of the house where homework will be completed. Avoid allowing teens to complete their homework in their bedrooms, as this is likely the least productive place for them. Keeping everyone in the same general vicinity of the house can allow parents to bounce from helping one child to the next. To keep the practice smooth and productive, insist that homework happen without distractions like television, social media, video games, etc.

Set aside time to help the youngest children first. Since their homework assignments will likely be easier and shorter, consider helping them prior to the older kids.This schedule also makes sense since younger children usually have an earlier bedtime, which will allow you to help the teens with their assignments once the younger ones are asleep.

Ask the older children to self-manage and take the initiative to start homework on their own. Depending on afterschool activities, families may be even more limited when it comes time to hit the books. This is a reality for many families, so encourage teens to get a jump start and jot down any questions or difficulties that they run into while working. This way they will have something to refer to when it is their turn for parental help.

Make a homework checklist for elementary-age students to highlight expectations and guide their efforts. For younger learners, parents will likely need to prompt the elementary children to get started, stay focused, and move between tasks or assignments. The checklist also helps children to begin to self-monitor while working.

Encourage older siblings to assist the younger children with their homework assignments. This sort of practice mimics the peer-teaching strategy, in which students build their own knowledge by teaching someone else the concept or skills. The younger sibling is not the only one to benefit from the tutoring assistance. By helping the elementary schooler, teenagers also develop communication skills, interdependence, and self-confidence when demonstrating concepts or tasks in a way that the elementary schooler can grasp.

Utilize alternate times for completing homework. Afternoons can be chaotic, but mornings can be equally stressful. However, if one of your children is an early riser, consider using some of the morning time for homework help, quiz review, or independent reading assignments to free up time later in the day. Just be sure that if you allocate part of the morning for homework that you carve out enough time to complete everything necessary.

Study Tips for High School High Achievers

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For students who have previously excelled in school without exerting much effort, the idea of an intense study session may seem not only foreign, but also intimidating. While these students have grown accustomed to acing assessments, memorizing concepts, and tackling tasks with ease, they may have inadvertently neglected to acquire an essential academic tool—effective study skills.

For gifted students, those who have naturally acquired, implemented, and stockpiled knowledge and content in their classes from previous years, difficult concepts or the sudden need to study in order to retain information can be jarring and frustrating. For these students, school has come easily until now—which means that honed study skills and strategies might be outside of their repertoire.

What can be done for these naturally-gifted secondary students, those who oppose studying out of stubbornness, unfamiliarity, or sheer confusion? Plenty.

1)  Start small with a rough outline of the essential material. For instance, if a high-achieving student in an AP history class is struggling to study for the first time, suggest that she create a realistic timeline for preparing for the assessment. A student who has never had to study is more likely to attempt a cramming strategy—or, non-strategy, if we are being honest. The added stress and lethargy from a long night of cramming before an exam can actually negatively impact the test-taker. As early as possible before an exam, high schoolers should attempt to roughly map out a study schedule that provides them with at least 3-5 days of advanced preparation.

The simple sample outline below for our AP history student could act as a starting point for those students that have never had to make an outline before:

Monday Tuesday Wednesday
Topic/Concept WWII Key Players Dates Vocab
Actions -Review map

-Chart Germany’s battles/progress

-Assign 1 key point for each significant  historical person

 -Make 2nd copy of blank timeline; try to complete from memory

-Highlight most significant dates during the Holocaust

 -Define unfamiliar terms from class notes/text

-Use new terms 2x per day until exam
Reminders Look closely at Allied nations Review date/location of start and end of WWII Ask peer to compare to find additional terms

 

2) If the basic outline above is a challenge for your novice studier, encourage her to find reputable online sources or videos that walk students through the process of making a study guide or outline. Often times, knowing where and how to begin can be the most intimidating part of studying for students who have had information retention come naturally for so long. By watching how other successful, experienced studiers compose an outline or gather information for a study guide, reluctant studiers then have a step-by-step resource to help walk them through the process. This is especially nice for parents if high school aged students are vehemently opposed to “doing it Mom or Dad’s way.”

3) Encourage novice studiers to “take small bites at first, then go back for more later.” This principle helps to reinforce memory and recall. If students cram or spend minimal time trying to memorize a concept, they will likely lose vital details prior to the assessment. Instead, once students feel that they have mastered or internalized a concept, prompt them to revisit that concept a few hours later or the following day. This will help high schoolers to understand if the material has been moved from short-term memory to long-term memory.

4) Ask your high school student to “teach” the material to another person. One long-standing concept about learning is the fact that mastery comes when one is able to teach or relay the information to another person. In this sense, students are not only confident in their ability to remember the info, but they take it a step further to explain or translate the information in their own words. Encourage your child to not only review definitions, for example, but come up with his own new definitions. This way, your high schooler will know for sure if he or she fully conceptualizes the term and its meaning.    

Mindset Matters: Growth Mindset for the High Schooler

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Growth mindset, simply put, is the belief that one’s intellect and abilities are not only unfixed, but malleable. That is, people are capable of employing different strategies to grow and improve their intelligence and skill sets. For high school students, this notion of agency and control over their abilities can be a transformative realization. Once teenagers realize that they are capable of improving themselves in any area that they choose, their options become limitless.

In order to teach concepts about growth mindset to high school students, they must first recognize what it is versus what it is not. Growth mindset is not a “cure-all” belief system that suddenly makes us capable of being perfect at anything that we attempt. Quite the opposite, actually. Growth mindset is about striving to improve, as opposed to focusing solely on perfection.

A way to encourage growth mindset in the high school classroom is to create opportunities for students to build intrinsic motivation by appealing to their curiosities. Want students to go above and beyond just for the sake of learning as much as they can? Provide student-centered options that provoke each teen’s natural inquisitiveness. For high schoolers, intrinsic motivation may just be beginning to bud. Nurture this by allowing them to research, read, and create based on content that they are interested in. For obvious reasons, students are much more enthusiastic about learning when they have had a hand in choosing the content. Additionally, when students are given choices in how they can demonstrate mastery, motivation, effort, and creativity spike. In this sense, growth mindset is all about encouraging explorative challenges.

Provide opportunities for students to get to know themselves as learners by challenges that make them think outside of the box. We all have natural talents; however, growth mindset is all about using the knowledge of our natural talents to unlock our potential in other areas of difficulty. The high school classroom should be the number one place for students to take risks—this means tackling a challenge that they know full-well will be difficult for them. Remind students that grit emerges when people are faced with setbacks and demanding obstacles. With this in mind, help students to focus, not so much on the perfected outcome of a task or project, but on the process—the trials and errors that occur as they work through a problem.

The idea here is that we learn more from our mistakes than we do from our successes. Help high schoolers to expect and accept failure as a certainty of life. Allowing failure to permanently fix our mindsets is an automatic means of sabotaging ourselves. Instead of shutting down and internalizing a perceived failure, high school students need help recognizing why they failed and how they will use this moment as a building block for their next attempt. When they stumble, remind them that anything worth doing will not come easily. An essential aspect of growth mindset is the fact that effort, motivation, and reflection are bridges to success in anything that we attempt.

Discussing Current Events with Students & Children: If, When, and How?

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The unfortunate reality for children growing up right now is the prevalence of senseless tragedies. I myself, even as a grown adult, struggle time and time again to make sense of the catastrophic violence that pervades our day-to-day. For my students, I cannot fathom the panicked bewilderment and anxious uncertainties that events such as the Las Vegas attack bring to their frightened, yet curious, minds. During these formative years, how can we mediate the thin line between informing and frightening our students and children? If we decide that information is power, how do we present such heart-rending topics to young people in a way that equips them to do better for the world? Conversely, if we instead choose to shelter our innocent young people by preserving their naïveté, how can we expect to bring up the next generation to be culturally responsive and informed citizens?  

When considering conversations with young people involving tragic current events, such as this week’s Las Vegas mass shooting, adults must be extremely cautious. From the educator’s perspective, I am personally conflicted about my exact role as the adult in the classroom when it comes to conversations of a sensitive nature. Even as a middle school teacher, where my students assert themselves as “informed” or “aware” community members, I find it irresponsible of me to take on the role of informant for other people’s children.

Yes, our students are privy to infinite amounts of and avenues for any and all information, thanks in great part to the 1:1 ratio of school-aged children to smartphones. However, I firmly believe that the family (parents and guardians) know that child best. Therefore, as a teacher, my obligation begins and ends with parental consent. I can, and have, encouraged curious students to speak specifically with their parents about current events and the questions they have regarding those events. Additionally, as an English teacher, I have provided students with criteria for credible sources, smart searches, and strategies to detect bias and objectivity. But that is where my responsibility ends. This is not because I don’t want to hear their opinions or thoughts on the world’s happenings, but rather because it is not my place to open such an emotional or sensitive topic up to discussion.

Suggestions for parents regarding if, when, and how to broach these types of discussions with your children vary from family to family. Obviously, you know your children better than anyone else. Parents are also in control of the extent of info to which children are exposed. Parents are the gatekeepers of information, charged with filtering, limiting, and explaining the events that you deem appropriate for your children.

If families decide to discuss emotionally-charged current events, such as terrorism or mass acts of violence with their school-aged children, parents should consider multiple factors, including age, social and emotional maturity, and peer influence. Let your children do the talking first. Take the temperature of their background knowledge on the topic before you begin. Ask if they have heard or seen anything about the specific news story. It is likely that, if your child has a smartphone, she has some level of prior knowledge. Between social media and other communicative platforms, preteens and teenagers are presented with a deluge of news stories, photos, and videos.

Once you’ve gauged their level of prior knowledge, plan to direct the conversation with the goal to inform on a broad scope—do not necessarily delve into specific details, as details rarely serve to comfort or answer questions. A curious teen will inevitably stumble upon more details, but remind your teen to check the validity of the source before forming opinions or drawing conclusions. Furthermore, be prepared to some answer questions, while leaving other questions unanswered. Especially with unanswerable questions like “how?” it is more than okay to respond with “I don’t know” or “we may never know.” Find some security in the fact that a senseless act will never make sense—and share that important realization with your teen. Finally, encourage your teen to focus on the heroic deeds of bystanders, first responders, survivors, etc. Tragedies cannot be explained or reconciled, but the focus of the aftermath should always center on taking measures to lift up, help out, and affect change for the better. Always.