If you’re as passionate about improving education as we are, chances are you’ve had moments of discouragement, too. However, lately, we’ve come across several campaigns that had us smiling. We thought we’d pass on the optimism to remind us all that positive change in education happens every day–and to let you know how you can take part!
After boring both my students and myself with largely direct instruction math for a couple of years, I decided to try guided math. The results? Increases in interest, one-on-one time, student initiative, and just plain joy in math learning.
Why Guided Math?
Most math programs are still set up in very traditional, teacher-centered constructs. In the name of “offering support,” some even provide scripts! This is typically followed by a barrage of worksheets. Then quiz tomorrow. Spiral review. Repeat.
Perhaps the monotony would be worthwhile if we all become mathematically literate adults, but this does not seem to be the case. As the National Center for Education Statistics keeps confirming in surveys conducted since the 1980’s, most Americans’ math skills remain lacking:
One day, while complaining to another teacher about how I’d started hating the sound of my own voice, she introduced me to guided math. What I found most intriguing:
The use of math “stations,” even for older students
The possibility of teaching lessons to small groups (4-8 students at a time)
Easier access to limited math manipulatives
More time for individual students to receive what they need most, whether it’s practice, instruction, or extension projects.
I started literally the next day.
And while it took longer than that to refine my approach, the beauty of guided math is you can easily adapt your school’s math program to its structure.
Set-Up
Time Needed: 1 to 1 ½ hours block
Breakdown:
Warm Up (first 5-15 minutes): Number Talks were one of my favorite ways to warm up (see this 3-page pdf for more details). At the end of warm-up time, write or project on the board any materials students may need to bring to each station.
Stations time (45-60 minutes): Students either rotate among or choose stations.
Wrap Up (last 5-15 minutes): Allow students to share any mathematical discoveries they noticed.
Stations Ideas:
Mini-lesson: This becomes a much more flexible idea than simply delivering lessons to the whole class. Some options:
The teacher works with small groups with math manipulatives, individual whiteboards, or other resources that are difficult to share/manage in larger groups.
Set up a computer with a video on the concept of the day from free video databases like LearnZillion or Khan Academy. See a fantastic example of how a 4th grade colleague of mine uses her classroom blog to direct students to the video she selects (they have the additional convenience of checking out a mobile lab for the entire class during math). The video option can be especially helpful on days that you need to have one-on-one math conferences with students.
Practice: Students try out concepts learned within the unit or the lesson of the day.
Fluency: Students work on math facts with flash cards, games, and/or websites like this one. I would sometimes have them record their progress on spreadsheets like this one.
Reflection: Students record their math thinking and processes in journals.
Choose a Structure: Rotations vs. Choice
Rotations: Divide your students into 3-5 groups (mixed or leveled based on benchmarks, quizzes, or daily formative assessments). Take the length of math block time, subtract 10 minutes for whole-class time at the beginning and end.
Choice: Right after Warm-Up, take a status of the class, asking your students which 1-2 stations they will be working on that day and why. You may choose to require all students to select the mini-lesson and/or practice stations each day before choice time, but that depends on your students’ needs!
Don’t be afraid to try out both options a couple of times! Ask students to notice successes and issues, and to be ready to report back during the wrap up or weekly class meeting. Give them the opportunity to solve problems, and they will surprise you!
Model, Model, Model!
Practice examples and non-examples of every station as a whole class.
Display visuals like this one, or write clear instructions on your blog like my 4th grade teacher friend.
Issue: Students become off-task at the game and/or fluency station
Possible Solution: Ask for parents to volunteer during guided math, either to help check off, help students with their practice, or even to bring a math game to share with groups! You can also simply consider the location of your stations.
Issue: Students don’t get to every station every day
Possible Solution: That’s ok! If you’re doing rotations, just cut out one or two of the stations you’re using. If you’re doing choice time, just have them choose 1 station a day beyond the mini-lesson and practice.
Issue: Instruction time not long enough
Possible Solution: If you don’t find a LearnZillion or Khan Academy video you like, make a video of yourself teaching the concept! Not only can it help you say things more succinctly and briefly, but your students can individually pause, rewind, and rewatch as many times as they need to.
Issue: Students don’t have enough time to finish worksheets in the practice portion.
Possible Solution: Become a more careful curator of your resources–sure, your manual assigns 38 problems to practice adding fractions, but is that really what your students need most today? Or do they really just need to practice the 4 problems that involve mixed numbers? Or maybe, they need you to design a challenge activity that gets them thinking more about the concepts behind fractions. Never assume that the math textbook knows more about your students’ daily needs than you do!
Any other questions, tips, or experiences? We’d love to hear about them in the comments below!
If you’re a teacher, chances are, you’ve experienced parents upset over both too much and too little assigned homework. Have you ever wondered why opinions on the issue tend to be emphatic, polarized, and emotional? So did we. We decided to do some serious digging, and we were shocked at what we found… Continue reading “6 Reasons the Homework Debate is a Mess”
The long term effects of learning to study can stretch much further than than the average high school sophomore may think.
Bart’s Story
When Bart started school with a half-tuition scholarship that would renew yearly pending his GPA performance, his college career future looked bright. Once classes began, however, he says he “blew off” his classes and lost the scholarship after two semesters. This required him to get a part time job on campus, and eventually a full time job–ultimately extending the time until graduation as he had to cut back on classes in order to function. He hadn’t realized the thousands of dollars he could lose–beyond just the scholarship itself–until it was too late.
Declining Studying Stats
Bart’s story is becoming an increasingly familiar one for college students. Research shows a significant decline in time students are devoting to their studies. Until the 1960’s, undergraduates spent about 40 hours per week academically. Today, that number is down to 27 hours each week–which includes both class time and studying. The time spent on studying alone is comparable; in 1961, it was 25 hours per week–by 2003, it had whittled down to 13 hours.
The Math and Money of Study Time
Bart urges other students to carefully examine the monetary value of their time spent studying. Below are some figures to consider:
$19 per hour: studying 13 hours per week over a 16-week, $4,000 tuition semester
$10 per hour: studying 25 hours per week over a 16-week, $4,000 tuition semester
$67 per hour: studying 13 hours per week over a 16-week, $14,000 tuition semester
$35 per hour: studying 25 hours per week over a 16-week, $14,000 tuition semester
Whatever the tuition rate, the value of time spent studying to keep up grades and scholarships is worth more than the $7.25 minimum wage jobs students would otherwise need to work.
Informing our students of the numbers listed above is just one small step in preparing them for the realities of college and beyond. We believe that it is paramount that students cultivate intrinsic motivation if we hope they will dedicate every effort required to succeed in their desired field as adults. What do the child who has always been denied sugar and the student who always been denied opportunities for self-directed learning have in common? Both are likely to spend their time and resources unwisely the moment they gain autonomy.
That said, we also find value in encouraging “college and career readiness” strategies to help students view the long term effects of developing study skills. An example might be teaching a third grader to develop stamina in reading a book without distraction.
As we empower students to develop such motivation and skills, our expectations of them should remain high–not out of pressure-inducing fear that they could otherwise fail in the “real world,” but out of belief in their ability succeed. This is key in fostering the kind of love of learning now that will truly prepare them prepare them for the future.
What are some ways you prepare students for the future while still encouraging them to live and learn with passion now? Share in comments below!
Inspired by Jack Hagley’s infographic, “The World as 100 People,” we wondered how such a representation would look for the United States. As we began to research, we further wondered how the rates would compare to 1900. The infographic below is the result!
Personal development activities improve awareness, identity, develop talents, enhance the quality of life, and bring you closer to your dreams. Honors Grad U is a big promoter of self-education and has provided tips below on how to be the best you: