Rigor and Productive Struggle – “Kind of Hard” Causes Leaning

Teaching for learning often resembles the Goldilocks story. If things are not just right, Goldilocks is not happy. Her sampling of chairs, porridge, and beds showed some chairs and beds to be too soft or too hard and some bowls of porridge to be too cold or too hot. By experimenting, she found her “just right” spot.

When children find lessons that are too easy to too hard, and I add, not interesting or of no perceived value to them, they also are not happy. They express their unhappiness by wandering off into boredom, distractive behaviors, and absenteeism. The “just right” lesson can catch each child’s attention and positively challenge their emerging skills sets. Such is a teacher’s constant dilemma – designing lessons with enough rigor and interest, not too little nor too much, to cause learning.

The sweet spot.

In “Productive Struggle Is a Learner’s Sweet Spot” (ASCD, Vol 14, No. 11), Barbara Blackburn describes the tension in instructional design teachers face in creating lessons that are “just right” on the scales of interest and rigor. “Student success occurs when you create an instructional environment that sets high expectations for each student and provides scaffolding without offering excessive help. The key is to incorporate productive struggle.

Productive struggle is what I call the “sweet spot” in between scaffolding and support. Rather than immediately helping students at the first sign of trouble, we should allow them to work through struggles independently before we offer assistance. That may sound counterintuitive, since many of us assume that helping students learn means protecting them from negative feelings of frustration. But for students to become independent learners, they must learn to persist in the face of challenge.”

https://ascd.org/el/articles/productive-struggle-is-a-learners-sweet-spot

Blackburn speaks of two essential elements for teaching in the sweet spot. One is using the tension between the Goldilocks’ just right and too hard to provoke children to learn. Instruction that is too easy will not cause learning. It is the tension between what a student knows and can do now and what they need to know and do next that is the cutting edge for their learning. Teachers use the tension to motivate, instruct, and reinforce new learning.

Blackburn’s second element is scaffolding new learning so that all children incrementally secure their learning and developmentally grow their knowledge and skills through productive struggle. Blackburn does not allow Goldilocks to settle back into comfort but keeps pushing Goldilocks to learn to know and do what initially is too hard for her. For Goldilocks-like students, what is just right today will become too soft in the future

Blackburn locates that sweet spot by finding the critical attributes of the new or next learning in her curriculum. Madeline Hunter taught us to assess critical attributes by sorting the ideas, concepts, and generalizations of knowledge and the rigor of skill sets to identify what children need to learn “right now.” This creates the sequence and the rate and degree of what will be taught to cause learning. The scaffold ensures that children are prepared and ready to climb from one step of the learning sequence to the next. Children learn the facts and skills in the order required to create concepts and generalizations needed for new progressions of their curricular learning.

When an appropriately considered scaffold is absent, children easily drift into boredom and disinterest. “Over time, students who are continually and insufficiently challenged tend to become disengaged and complacent, exerting lower effort and gaining only superficial learning. As a result, some fail to develop resilience and perseverance with difficult tasks.”

https://ascd.org/el/articles/thriving-in-the-zone-of-productive-struggle

Lev Vygotsky added to our understanding of how children learn with “the Zone of Proximal Learning. “According to Vygotsky’s theory, the ZPD describes the area between a child’s current and future ability. The ZPD is a hypothesized construct that describes the range of children’s abilities from what they are capable of doing to what they are unable to do on their own. When teaching, teachers should encourage child learning by using activities and supporting strategies that enable a child to accomplish a task with the assistance of another peer or teacher. It is important while scaffolding that teachers ask questions and give tasks that target a child’s current developmental level. As children begin to master skills on their own, teachers adjust their teaching strategies accordingly so that children continue to advance.”

Just right is “kind of hard.”

There is an intersection where applications of productive struggle and proximal learning can be used to enhance student learning by finding the “just right” spot.

Does it make sense to make learning slightly harder?

Annie Murphy Paul wrote, “Yes, and the reason is twofold. The first reason to make learning harder is to make it interesting. Learning something new and complicated is hard in itself, as we saw above. Lightening the learner’s cognitive load will allow her to learn more effectively without becoming frustrated or confused.

But once the learner has attained some degree of mastery, ratcheting up the difficulty will help her stay in her “sweet spot” of engagement, where the task is not too hard as to be frustrating and not so easy as to be boring. This is also the place where learners can practice encountering adversity and challenge and overcoming them, a key experience in the development of grit.

The second reason to make learning harder is that it makes learning work better. UCLA psychologist Robert Bjork has developed the idea of “desirable difficulties” — difficulties that we actually want to introduce into students’ learning to make it more effective. Bjork notes that many of the learning activities that make students feel competent and successful — like reading over a textbook passage several times so that it feels familiar — actually they do very little to help them learn. What they should do instead is something like this: close that textbook and ask themselves to recall from memory what they’ve just read.

It won’t feel as good. They’ll struggle to remember the words that were just in front of their eyes. But this activity, known as retrieval practice (or simply self-testing) is an example of a desirable difficulty that will dramatically increase students’ learning.”

https://www.greatschools.org/gk/articles/making-learning-easier-harder-for-kids

Paul suggests that cognitive load is a factor in what makes learning new content and skills easy or hard. “Cognitive load refers to the amount of information our working memory can process at any given time. For educational purposes, cognitive load theory helps us to avoid overloading learners with more than they can effectively process into schemas for long-term memory storage and future recall.”

https://www.mcw.edu/-/media/MCW/Education/Academic-Affairs/OEI/Faculty-Quick-Guides/Cognitive-Load-Theory.pdf

How much is “just right?”

As we design lessons for cognitive load, we consider the number of pieces or chunks of new information the brain can process at once. “In a famous paper humorously describing “the magical number seven plus or minus two, “Miller claimed to be persecuted by an integer. He demonstrated that one can repeat back a list of no more than about seven randomly ordered, meaningful items or chunks (which could be letters, digits, or words). Other research has yielded different results, though. Young adults can recall only 3 or 4 longer verbal chunks, such as idioms or short sentences (Gilchrist, Cowan, & Naveh-Benjamin, 2008). Some have shrugged their shoulders, concluding that the limit “just depends” on details of the memory task. Recent research, however, indicates when and how the limit is predictable.

The recall limit is important because it measures what is termed working memory (Baddeley & Hitch, 1974Miller, Galanter, & Pribram, 1960), the few temporarily active thoughts. Working memory is used in mental tasks, such as language comprehension (for example, retaining ideas from early in a sentence to be combined with ideas later on), problem solving (in arithmetic, carrying a digit from the ones to the tens column while remembering the numbers), and planning (determining the best order in which to visit the bank, library, and grocery). Many studies indicate that working memory capacity varies among people, predicts individual differences in intellectual ability, and changes across the life span (Cowan, 2005).

It has been difficult to determine the capacity limit of working memory because multiple mechanisms retain information. Considerable research suggests, for example, that one can retain about 2 seconds’ worth of speech through silent rehearsal (Baddeley & Hitch, 1974). Working memory cannot be limited this way alone, though; in running span procedures, only the last 3 to 5 digits can be recalled (less than 2 seconds’ worth). In these procedures, the participant does not know when a list will end and, when it does, must recall several items from the end of the list (Cowan, 2001).

https://pmc.ncbi.nlm.nih.gov/articles/PMC2864034

Once “just right” is taught, teach children how to remember/study.

One may think that Goldilocks was just goofing around in the three bears home. But she wasn’t. She tasted porridge to find something to eat and she tested chairs and beds for something to sit and sleep on. So, it is with lesson design. Learning must be focused on the right outcomes.

Paul also referred to Bjork’s “desirable outcomes” or expectancy theory. In his example of a study habit – re-reading – he shows that when a child re-reads material several times, the expected outcome is familiarity not memorization what was read. To memorize, a child must set the expectation of recall not familiarity. Hence, instead of re-reading, close the book and try to recall what was read. If not successful, read again, close the book, and try to recall. This is practicing the expectation that the child really wants – to remember what was read not just be familiar with it.

As we teach children new information and skills, we want them to internalize what they learn not just parrot it back to us. Early on in their school careers, children must be taught how to create memory and not just expect memorization to happen. The ability to memorize is just as important as content and skills. To do this, teach a small chunk of new information, then ask children to repeat it back to you. Have children read a paragraph, set the reading aside, and tell you what they read. Extend their listening and reading to larger chunks of information. And correct them when their repeating or telling is not correct. Practice this in class and tell them they need to do this when they study at home. We teachers assume children know this intuitively and they do not.

The Big Duh!

The design of good instructional lessons is not easy. Assess what children know now and what they need to know next. Assemble new information and skills that are at the hard edge of what would be relatively easy for them to learn. Set the motivational hooks of novelty, interest, and challenging material for children before they engage in new learning so they will choose to engage in learning. Don’t provide help too soon – productive struggle builds resiliency. Teach them to study and create short- then long-term memory of what they learned.

Then, do it again for their next lessons.

If We Want Students to Study, We Must Teach Them How

“I need to study for my test”, I would say to myself.  With self-discipline I sat at the card table that was my desk at home in my high school years, textbook and class notes in front of me, and engaged in the mystery of studying.  Mystery, I say now almost 60-years after high school graduation, because the act and art of studying was so elusive, I might as well have been told to flap my arms and fly.  With little understanding of what it meant to study, I waddled through years of school tests relying on what I heard and observed in class and my reading of the assigned texts.  And so it goes still.  Last week I heard and saw a high school student in our high school library, as I prepared for a school board meeting, say to friends, “I need to study for my test.  I wish I knew what to do!”. 

I ask my readers to consider this article through the eyes and ears of a student in school.  Too many students throw up their hands in defeat repeating the last sentence in the first paragraph.  All students need us to teach them how to be successful in school.  Teaching them what will be on a test is important; teaching them how to study for a test is just as important.

The quick answer to “How should I study?” is that we need to teach all students to

  • Listen and pay attention in class
  • Build short-term memory through repetition
  • Read aloud
  • Focus on key words and ideas
  • Master automaticity of key facts
  • Understand what the problem wants you to do
  • Speak your solutions out loud
  • Study frequently

Listen and Pay attention

School, study and learning have gone hand-in-hand forever.  In the first instance, children are told to pay attention to what their teachers says and does daily.  Listen and watch, listen and watch – these two aspects of paying attention are a child’s first pass at learning.  Remarkably, children learn a lot just from listening and watching.  I was told as a student, “If you just pay attention in class, listen to your teacher, with a special focus on what the teacher writes on the board (now digital screen), you can pass every class”.  I also learned that the bar for passing classes was not very high – just attend school and pay attention.

In the second instance, if a student wants better than passing grades, a student must do more.  If being present and listening to and watching what a teacher says and does can result in a D grade or better, what does a student need to do be earn even better grades?  Study.  Here we go.

What to do:  When you tell students to pay attention, mean it.  Get their attention.  Don’t proceed until you have it.  Too often we say “Now, pay attention” and then proceed without getting their attention.

What to do:  When you tell students to “add this to your notes” check their notes.  If they wrote down the wrong things, they will study the wrong things.  If it is important enough to tell them to write it down, ensure that they wrote it down.

Short-term Memory

Short-term memory counts because most tests assess short periods of learning.  Quizzes assess the smallest amount learning.  Chapter or unit tests, think four weeks of learning, are the most common school assessments.  Semester and end-of-year tests by their nature assess the most important ideas and skills learned in 18 and 36 weeks.  Annual state tests cover learning over multiple years, usually going back at least two years.  Knowing this, short-term memory is the first key to studying for most tests.

Short-term memory is all about repetition.  Repetitive practice does not make perfect, as people want to believe, but it does make what is repeated permanent.  The brain needs reinforcement if we want it to remember something and the more often, we say or do the same thing, the more likely the brain will remember it.  When a child listens and watches the teacher, the brain gets an initial introduction to information, but it is not enough if we want the brain to remember that information for very long.

As a rule, when you think short-term memory think 5 to 7 repetitions.  Re-read the assigned information multiple times.  A chapter in a text or a book the class is reading or the handouts or a screen shot that was shown since a last chapter or monthly test is what will be on the next chapter or monthly test.  This information is what a student needs to re-read and re-look at multiple times.  If it helps, make chicken scratches on a bookmark for every time you read re-read this information.  Get to at least 5 preferably 7 scratch marks.  If your brain has 5 to 7 repetitions of the same material, your brain will be prepared to answer questions about this material on an assessment.

What to do:  Use class time to practice short-term memory.  “We are going to take five minutes for you to read that paragraph (word list, vocabulary definitions…) at least five times to yourself.  Start now.”  If you want students to know information, show them how and give them time, your time, to know it.

Re-read Aloud

One more step – read it aloud.  It is too easy to just skim over the pages when you read it silently.  Your eyes move but your brain does not engage.  Reading aloud means the brain must see and you must say every word.  Too many of us say, “I already read it.  I don’t need to waste time reading it again”.  However, reading once is not enough to create adequate short-term memory.  Read it again and read it aloud.

What to do:  Once again, do it in class.  Students can read aloud with soft voices.  Spread them out around the room and use all your square footage.  Then, listen to students as they read aloud.  Nod, smile, and reinforce.

Focus on What the Teacher Focuses On

Teachers give students clues about what is MOST important in the lessons they teach.   Most teachers tell their classes, “Write this down” or “Add this to your notes”.  Then they write or display the most important words or ideas in the current lesson on the board or screen.  If a teacher writes it, a student should also write it.  And write it exactly as the teacher writes it.  Treat these words and ideas like a giant billboard with flashing lights that tell you “Know this because it will be on the test”.

If a student’s notes only show what a teacher writes on the board or screen, that student has a start in preparing for the next test.  Build understanding from these key words and ideas.  If it is a word, define it – know what the word means.  If it is an idea, write several sentences about how the idea was explain in class.  For example, if the word is “germinate”, define it.  If the idea is “growing season”, write down an example of a growing season and what happens over time.

Then, build these definitions and examples into short-term memory with 5 to 7 repetitions. 

Listen and pay attention, copying key words and ideas, re-reading aloud and doing these things 5 to 7 times builds good short-term memory in language arts, social studies, most of science, second languages,

What to do:  Interview students.  Simply ask each student to “Tell me what you know about…”.  Formative assessments are not always quizzes.  A quick oral interview of a cross section of students will tell you if instruction has been successful in causing learning.

What to do:  Teach students to self-interview.  “What do I know about…?”, is a question a student can use as a studying check-up.

Math is Different

There is only so much that short-term memory can achieve in arithmetic and math.  In the primary grades, teachers work to create automaticity of facts.  Consider the tables students memorize and the urgency for knowing these facts on demand.  The clearest example is a multiplication table.  Repetition and short-term memory allow a student to quickly call out 63 when asked to multiply 7 times 9.  All students need to achieve automaticity mastery of math facts. 

This is not short-term memory but long-term memory work.  To build long-term memory students need 17-20 repetitions and then frequent repetitions over time.  What does this mean?  Teachers and students hammer the drill and practice with intensity.  Repeatedly until short-term memory cannot help but answer 63 to the 7 x 9 question.  AND, then repeated practice frequently but not intensely over time.  That means next week and next month.

What to do:  On demand and without fanfare ask a student to tell you their addition or multiplication or division tables.  Make the telling oral so that it quick fire.  Do this over time with all students to reinforce long-term memory.

Know the Language of Math by Writing Math Sentences

Once math facts are secure, math learning is all about understanding the language of a math problem.  What does the math language of the problem tell you to do?  Without fail, some students read the text of a math story problem or look at the numerics of a math problem and do not know what the language of the problem is telling them to do.  The have not learned to read the language of math; math is Greek to too many children.  Because students can read text, we assume they can read math, and this is not a leap we should make.

As always, demonstrate and over-demonstrate the skills of interpreting English sentences into math sentences by visibly interpreting the words or numbers into “math sentences”.  Do this each time a new math concept is taught.  “This is how you read the math problem and we will write each step of the problem into a math sentence.”  Once students learn to do this, the mystery of story problems is resolved.

What to do:  Each time you make a math assignment, demonstrate how to interpret the language of the problem into math sentences.  Say it aloud and write it on the board/screen.

What to do:  When circulating around the class while students do their assignment, don’t look for right answers/current solutions.  Ask students to tell you their math sentences.  This is the skill that gets them to the right answers.

The Template for Short Answers and Essays

Most quizzes and tests use multiple choice, true-false, and fill in the information questions.  These are easier to correct.  They also are easier to turn into the data of learning as the number of correct answers seems to equate to learning.  Given the factual nature of most multiple questions, m-c is a test of memory.

Many students frown when the test or quiz requires short answers or essays.  In multiple choices and fill in type questions, a correct answer or information leading to a correct answer is displayed in the problem stem.  This is not always true in short answers or essays.

Once again we teach students to write short answers and essays by teaching them how with frequent demonstrations.  How often has a student heard a teacher say, “You should have learned how to write an essay back in grade xxx”.  If the teacher has to say this, she already knows that a student did not learn how to write an essay back then.  We need to fill this gap in learning.

Additionally, an essay written in fifth grade will not satisfy the requirements for an essay in 8th or 11th grade.  We expect more sophisticated thinking in essay answers as students get older.  We need to teach students what “more sophisticated” looks like by providing models, requiring short answer and essay writing in daily and chapter work, and, here it is, providing ungraded, critical feedback to students about their writing.  Ungraded and critical feedback takes the pressure off students for on-demand writing and incrementally develops writing strength.

The starting point is for each student to understand a five-part essay template:  introduction sentence, three supporting sentences, and a concluding sentence.  Just like math facts and vocabulary definitions, students need an immediate response to an essay assignment.  They immediately begin an outline of five parts.

What to do:  Have faculty agreement in a five-part essay template.  Remove the mystery of how to write an essay or short answer.

What to do:  Write essays frequently.  Remove the on-demand paralysis by making writing essays a general practice.

What to do:  Essay practice should be like basketball practice; we don’t keep score in practice sessions.  Instead, give critical feedback on how the clarity of each part of the essay, the strength of the supporting information, and the interpretation of the conclusion.  Build essay muscle.

Cramming is Guilt Studying

Lastly, keep students from doing what what I did.  Cramming for tests is a student’s attempt to resolve guilt for not doing the daily and weekly practices that build readiness for school tests.  If we teach and build study habit practices into usual teaching and learning, there is no need for cramming.  All the above is designed for daily, weekly and repeated practice.  

What to do:  If it is important that students learn to study, teach them how to study.

The Big Duh!

There should be no surprises in school tests.  All information and skills should be clearly taught and practiced so that a test is a natural wrap-up to what has been taught and learned.

Equally, there should be no mystery in how to study.  Every student should be taught independent study skills just as they are taught their A, B, Cs.  When we accept that study habits are not innate but are learned practices we teach students, then we are the right track of causing every student to become a strong learner.