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The beginning of a new school year carries a particular kind of energy. In the days leading up to it, backpacks are prepared, school supplies are organized, and sometimes a new outfit or pair of shoes is carefully chosen for that first morning. Students wonder who their teachers will be, whether their friends will be in their classes, what their schedules will look like, and what the new year will bring.
For many students, this anticipation comes with genuine excitement. A new school year feels like a new beginning—a chance to reconnect with friends, discover new subjects, set new goals, and perhaps make this year better than the last. For others, returning to school brings less enthusiasm: reluctance, uncertainty, or apprehension about facing again the subjects or situations they found difficult before the summer.
And then come the familiar back-to-school resolutions:
“This year, I’m going to stay organized.”
“I’m going to study every day.”
“I’m going to start my assignments earlier.”
“I’m going to do better in math.”
Whatever emotions accompany that first day, the beginning of a new school year creates a powerful sense that something is starting again. New teachers, new courses, new routines, and renewed motivation can make the beginning of school feel like an opportunity to start with a clean slate.
But academically, the slate is not entirely clean.
The calendar resets. The student moves into a new grade. The curriculum advances. But the knowledge and learning skills developed—or not fully developed—during previous years remain part of the foundation on which this year’s learning will be built.
A new school year may offer a fresh beginning, but learning itself does not start over.
Students return with the knowledge and skills they developed during previous years. They also return with areas that may need refreshing and, more often than we may realize, learning gaps that have not yet been fully addressed.
After several weeks away from the classroom, however, it is reasonable to wonder what happens to previously learned knowledge over the summer. Do students actually lose what they learned, or does some of that knowledge simply need to be reactivated?
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What Does Summer Really Do to Learning?
We often hear about the “summer slide” or “summer learning loss.” The expression can create the impression that students spend the summer progressively losing what they learned during the previous school year.
Research presents a more nuanced picture.
Ontario research examining multiple cohorts of elementary students found considerable variation in summer learning. By comparing achievement before and after the summer, researchers found that many students returned to school with approximately the same literacy and numeracy achievement they had demonstrated before the summer, while others experienced gains or losses.
Other research has identified declines in particular mathematical skills during summer vacation. An Austrian study of students aged 10 to 12, for example, found losses in arithmetic problem-solving after a nine-week summer break. Importantly, the students in that study were able to compensate for the observed losses after returning to school.
After several weeks without regular practice, previously learned knowledge may be less readily recalled or applied, and some skills may be less fluent. This does not necessarily mean that the underlying understanding has disappeared.
The student may simply need to refresh the learning.
That is very different from returning to school with a concept that was never securely understood in the first place.
Summer may make some learning less readily accessible, but it does not erase an existing learning gap.
This distinction raises an important practical question: when students return to school, how can we determine what has been retained, what needs refreshing, and what may represent a deeper gap?
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The Learning Gaps Students Bring Back to School
Not every difficulty that becomes visible in September was created during the summer.
Students may enter a new school year carrying gaps that developed months, or even years, earlier. Some of these gaps may involve prerequisite knowledge that was never fully understood. Others may be related to reasoning, problem-solving, or learning skills that have not yet developed sufficiently to meet the increasing demands of the curriculum.
These gaps are not always obvious. A student may have progressed from one grade to the next, completed assignments, and achieved acceptable, and even strong, marks while compensating for a weakness through memorization, familiar examples, repeated procedures, or help from others.
This is why learning gaps may be present more often than we realize: they do not always appear as immediate cause of failure.
They may become visible only when new learning places greater demands on the knowledge or skills that are not yet secure.
The beginning of a new school year therefore gives us an important opportunity—not to assume that every hesitation is evidence of a learning gap, but to distinguish between knowledge that simply needs to be refreshed after the summer and difficulties that point to something deeper.
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What Can the First Assessments Tell Us?
This is where diagnostic assessment becomes particularly valuable.
In Ontario’s approach to assessment, diagnostic and formative information contributes to assessment for learning: evidence is used to understand where students are in their learning and to inform what should happen next.
At the beginning of the school year, many teachers use review activities, short quizzes, or diagnostic assessments to identify which prerequisite concepts and skills are secure and which may require further attention.
Used effectively, these assessments can also contribute to assessment as learning. When students examine their errors, recognize what they understand, identify where they become stuck, and reflect on the strategies they use, assessment itself becomes part of the learning process.
For parents, these early assessments can provide valuable information as well. Their results should not be viewed as predictions of how a child will perform throughout the year, but as information about the child’s current starting point.
A weak result, for example, does not automatically mean that the student lost that knowledge over the summer. Without a comparable pre-summer measure, one beginning-of-year assessment cannot tell us when the difficulty originated.
What it can do is alert us that something deserves closer attention.
The value of the assessment, however, lies not only in the result but also in what the student’s work reveals.
A mark tells us how the student performed on that assessment. Examining the errors, strategies, and reasoning can help us understand why the student performed that way.
Was the difficulty computational or conceptual? Did the student misunderstand the question? Was prerequisite knowledge missing? Did the student know the procedure but fail to recognize when to use it?
Understanding the source of a difficulty helps determine what the student needs next. A loss of fluency may require review and practice. An unresolved conceptual gap may require the underlying concept to be taught or rebuilt. A student who understands the concept but struggles to apply it independently may instead need to strengthen reasoning and problem-solving skills.
Therefore, identifying the source of the difficulty becomes crucial when we consider the difference between knowledge that needs to be refreshed and understanding that needs to be rebuilt.
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Refreshing Knowledge Is Not the Same as Rebuilding It
Imagine two students encountering the same review problem during the first weeks of school.
The first student hesitates:
“I forgot how to do this.”
The teacher works through an example. The student completes a few practice questions and suddenly responds:
“Oh, yes. I remember now.”
The knowledge was there. It needed to be reactivated.
The second student looks at the same problem and says:
“I never really understood this last year.”
The two students may initially appear to have the same difficulty, but educationally they are in very different situations.
The first needs review and practice. The second may need to rebuild understanding.
This is one reason beginning-of-year review is so valuable. It gives students an opportunity to reactivate previous knowledge and regain fluency before moving into more complex material.
But a short period of whole-class review cannot necessarily address every unresolved learning gap students bring from previous years.
Once the review ends, the curriculum continues to move forward, and that matters because new learning rarely develops in isolation.
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Learning Is Cumulative
New knowledge is interpreted and understood in relation to what students already know. Research on prior knowledge shows that relevant existing knowledge can support comprehension and subsequent learning, although its effectiveness depends on factors such as the accuracy, relevance, and strength of that knowledge.
This cumulative structure is particularly visible in mathematics and science.
Mathematical concepts developed in earlier grades become tools for later learning. Fractions support proportional reasoning. Algebraic manipulation becomes increasingly important in functions. Equations and formulas become essential tools in chemistry and physics. Graphing skills developed in mathematics are later used to represent, analyze, and interpret increasingly complex relationships.
This helps explain a situation that can sometimes be puzzling for students and parents:
A student may understand the scientific concept being taught and still struggle to solve problems in that subject.
A student may, for example, understand the concept of concentration in chemistry but struggle with the calculation because they are not comfortable manipulating fractions, ratios, or proportions.
Similarly, a student may understand the relationship between velocity, distance, and time in physics, yet struggle when the required variable is not already isolated in the formula.
The difficulty becomes visible in chemistry or physics, but its origin may lie in mathematical knowledge developed several years earlier.
The new concept has not necessarily created the difficulty; it has exposed a weakness in the foundation on which that new learning depends.
What a student learned—or did not fully learn—several years ago can therefore become part of the intellectual toolkit required to understand and apply today’s lesson.
And when an important part of that toolkit remains weak, its consequences can grow as the curriculum becomes more complex.
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The Snowball Effect of an Unresolved Learning Gap
A small gap does not necessarily create an immediate academic crisis.
Students can often compensate. They may memorize a procedure, follow a familiar example, rely on a calculator, ask someone what operation to use, or learn enough of the current unit to succeed on an assessment.
The gap can therefore remain relatively quiet. But the curriculum continues to build.
When prerequisite knowledge is not identified and addressed in a timely way, its effects can compound, much like a snowball. What begins as a relatively small weakness can become increasingly consequential as new and more complex learning depends upon it.
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Consider fractions.
A weakness with fractions may initially affect a limited number of elementary mathematics questions. Later, fractions become part of ratios, proportions, algebraic expressions, slopes, functions, and scientific calculations.
The original gap itself may not have changed, but its consequences have expanded.
More and more new learning now depends on knowledge that is not secure.
The student may therefore be trying to accomplish two demanding tasks at once: understanding the new concept being taught today while compensating for prerequisite knowledge that should already be available for use.
Over time, a student can appear to be struggling with increasingly advanced material when part of the difficulty actually began much earlier.
But subject knowledge is only one part of the foundation students carry forward.
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Knowledge Gaps Are Only Part of the Picture
As discussed earlier, the gaps students bring into a new school year are not limited to subject knowledge. They may also be related to learning, reasoning, and problem-solving skills.
A student may possess the necessary academic knowledge and still struggle to use it effectively and independently.
Consider a student who knows how to perform division. When presented with a calculation and explicitly asked to divide, the student completes it correctly.
But place that same mathematical operation inside a word problem without identifying which operation is required, and the student may become stuck.
The computational knowledge is there. The difficulty lies in determining what to do with it.
To solve the problem independently, the student must interpret the situation, distinguish relevant from irrelevant information, identify relationships between quantities, determine which mathematical operation is appropriate, perform the calculation, and evaluate whether the result makes sense.
This requires more than computational fluency. It requires analytical thinking, reasoning, and problem-solving.
Students can sometimes compensate for weaknesses in these skills for a considerable period. They may rely on a friend to tell them which operation to use, reproduce the strategy from a similar example, or memorize the sequence of steps demonstrated in class.
As long as the next question closely resembles the example, this approach may appear successful.
But recognizing a familiar problem is not the same as reasoning through an unfamiliar one.
As students progress, the same distinction appears in increasingly complex forms.
A student may know how to solve an equation when given a worksheet titled “Solving Equations,” but struggle when an unfamiliar problem requires them first to recognize that constructing and solving an equation is an appropriate strategy.
As students advance through the grades, they are increasingly expected not only to remember and perform procedures but to select, connect, adapt, and apply what they know.
Learning skills extend beyond problem-solving as well.
Some students study extensively but rely primarily on rereading notes rather than retrieving information, applying concepts to unfamiliar situations, checking their understanding, or analyzing their errors. Others struggle with organization, time management, assessment preparation, or knowing what to do when they become stuck.
These are not necessarily gaps in subject knowledge. They are gaps in the skills required to use knowledge effectively and independently.
Like gaps in academic knowledge, these skills do not automatically develop simply because a student moves into a new grade.
This brings us back to the optimism—and the resolutions—that often accompany the beginning of a new school year.
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“But This Year I’m Going to Work Harder”
At the beginning of the school year, the desire to do better can be particularly strong. Students may genuinely be determined to change, and parents may establish new routines and expectations, in the hope of making the new year more successful than the previous one.
The challenge is not necessarily making these resolutions. It is sustaining them once the school year gathers momentum.
During the first weeks, new routines may still feel manageable and the academic load relatively light.
Then the pace changes.
New lessons accumulate. Homework becomes more demanding. Assignments overlap. Tests approach. Extracurricular activities and everyday routines compete for time and attention.
This pressure can be particularly visible in high school, where course expectations must be covered within a limited term and concepts often build rapidly on one another. The class cannot necessarily wait until every student has fully consolidated one concept before moving to the next.
For a student who needs additional time, or who is already carrying prerequisite gaps, new learning can begin accumulating before previous learning is secure.
The result can become a difficult cycle: the student is trying to understand today’s lesson while still working to master yesterday’s concept, and both may depend on knowledge from previous years that was never fully consolidated.
At the same time, homework, assignments, quizzes, and tests begin accumulating across several courses.
The student who started the term determined to stay organized and work consistently may gradually feel overwhelmed. There is increasingly less time to return to an earlier concept and understand it thoroughly before the next assessment or new unit arrives.
Slowly, the priority can shift from understanding deeply to simply keeping up.
Under that pressure, familiar habits may gradually return. Studying may once again be postponed until shortly before a test. Homework may become something to complete rather than an opportunity to understand. A student who intended to ask questions may begin avoiding them as the material becomes more difficult.
And familiar statements may begin to return:
“It’s too difficult.”
“I’m just not a math person.”
“I’m not good at science.”
“The teacher goes too fast.”
“I understand it in class, but I can’t do it by myself.”
These concerns should not simply be dismissed as excuses. Sometimes the pace, teaching approach, or classroom environment genuinely contributes to the difficulty.
But when similar patterns of struggling, falling behind, and feeling overwhelmed return, simply resolving to work harder may not address what is causing them.
Before deciding that more effort is the solution, it is worth identifying what caused the difficulty in the first place. Did the student lack some of the knowledge needed to understand the material? Did they understand the concepts but struggle to apply them independently? Or were their study and learning strategies ineffective?
Once the source of the difficulty is better understood, the student can make a more meaningful plan for what needs to change.
The question is not only, “How can my child work harder this year?” but “What does my child need to understand, learn, or do differently so that the same pattern of struggling, falling behind, and feeling overwhelmed does not return?”
The first weeks of school provide an important opportunity to begin answering that question.
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Look Beyond the Mark: Understanding the Student’s Starting Point
Diagnostic quizzes and early assessments are valuable, but understanding a student’s starting point should not stop with a percentage.
Parents and students can also pay attention to how learning happens.
What comes back quickly with review?
What requires considerable effort?
What feels unfamiliar?
Which mistakes keep recurring?
Can the student explain a concept rather than simply reproduce a procedure?
Can they perform a procedure only when told what to do, or can they recognize independently when and why it is appropriate?
When an early assessment comes home, the errors can provide useful information.
Was the student unable to perform the calculation, or could they calculate correctly once someone identified the required operation?
Did they misunderstand the concept?
Did they misinterpret the question?
Did they choose an inappropriate strategy?
Was the error simply computational?
Can they explain why their answer was incorrect and correct it independently?
Do several errors point toward the same prerequisite concept?
Taken together, these observations can help distinguish among four different needs:
Retain: What knowledge and skills are already secure and can be built upon?
Refresh: What was previously understood but needs review and practice to become fluent again?
Rebuild: What was not fully understood and needs deeper attention?
Develop: What reasoning, problem-solving, study, or learning skills need to be strengthened so the student can use their knowledge more effectively and independently?
Together, these questions help turn the first weeks of school into an opportunity to understand the student’s starting point and identify the areas that deserve attention before the curriculum becomes more demanding.
There is, however, one reason this process should continue beyond the very first weeks.
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When an Easy Start Feels Like Mastery
The beginning of the school year can feel reassuringly easy.
Students may be reviewing familiar material. Teachers are establishing routines, and the curriculum may not yet have reached its full level of complexity.
Then comes the first test—and the student may do extremely well.
That result deserves to be celebrated. The early success is real: the student has successfully demonstrated the knowledge and skills assessed on that test. What may be premature is concluding from that success that all the prerequisite knowledge and learning skills needed for the rest of the course are equally secure.
This is because an early review assessment may primarily ask students to work with familiar concepts and procedures in familiar contexts. It provides valuable information about what the student can currently recall and do, but it may not yet reveal how readily that knowledge can be transferred and applied when the context changes.
As the course progresses, the intellectual demands increase. Students are increasingly expected not only to perform a procedure, but to determine which knowledge is relevant, which strategy is appropriate, how different concepts connect, and whether their solution is reasonable. A single problem may require them to draw on knowledge from several units—or even several previous grades.
This is often where less visible gaps begin to emerge.
A student who performs very well during review may therefore encounter difficulty later—not because they suddenly stopped working or became less capable, but because increasingly complex learning has begun to depend on knowledge or learning skills that were not as secure as the initial assessment suggested.
The first test tells us something important. It does not necessarily tell us everything.
If difficulties begin to emerge later, the same principle applies: rather than focusing only on the new mark, we need to look at what the student’s work is revealing and where the difficulty is actually occurring.
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Once a Gap Is Identified, What Comes Next?
Identifying a gap is only the first step. What happens next depends on its nature.
If previously understood knowledge has simply become less fluent, focused review and practice may be enough to reactivate it.
If a prerequisite concept was never securely understood, repeating the current material may not resolve the problem. It may be necessary to return to the point where understanding became incomplete and rebuild the foundation before continuing to build upon it.
If the student knows the content but struggles to apply it independently, additional repetitive practice may not address the underlying difficulty. Reasoning, problem-solving, error analysis, and the ability to select and justify strategies may need to be deliberately developed.
The same principle applies to learning skills. A student who studies ineffectively does not necessarily need to study more. They may need to learn how to study differently.
Identifying the source of a difficulty helps us understand its nature and determine the appropriate support to address it effectively.
And timing matters.
When a recurring gap becomes visible, addressing it early can help prevent the student from having to manage two challenges simultaneously: repairing previous learning while trying to keep pace with increasingly complex new material.
The objective is not to eliminate every weakness before a student encounters something new. That would be unrealistic.
It is to identify the gaps most likely to interfere with what comes next and address them before their effects begin to compound.
How those different gaps can be addressed effectively deserves a discussion of its own.
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Making the Fresh Start Count
A learning gap is not a prediction of how the school year will end.
Nor should students approach the new school year anxiously searching for everything they might have forgotten.
A new school year genuinely is an opportunity for a fresh start.
But perhaps the most productive fresh start begins by recognizing that every student enters the new school year with a learning history—strengths to build on, knowledge to refresh, and often gaps that still need attention. From this starting point, the priorities become clearer:
- Retain what is secure.
- Refresh what has become less fluent.
- Rebuild what was never fully understood.
- Develop the learning skills needed to work increasingly independently.
Then the optimism of a new school year can be matched with something equally important: an accurate understanding of the student’s starting point.
New notebooks can give us blank pages. A new school year can give us renewed motivation.
But learning itself is cumulative. Every new concept joins a structure that has been developing for years.
And when weaknesses in that structure are identified early, before their effects begin to compound, we give students something more valuable than simply the hope of doing better this year:
we give them the opportunity to build a stronger foundation for what comes next.
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Further Reading
The following studies provide further research on summer learning, prior knowledge, and how existing knowledge influences new learning:
Aurini, J., & Davies, S. (2021). COVID-19 school closures and educational achievement gaps in Canada: Lessons from Ontario summer learning research. Canadian Review of Sociology/Revue canadienne de sociologie, 58(2), 165–185. DOI: 10.1111/cars.12334.
This Canadian study draws on multiple cohorts of Ontario students to examine summer learning patterns in literacy and numeracy and highlights the considerable variation in students’ learning trajectories over the summer.
Paechter, M., Luttenberger, S., Macher, D., Berding, F., Papousek, I., Weiss, E. M., & Fink, A. (2015). The effects of nine-week summer vacation: Losses in mathematics and gains in reading. EURASIA Journal of Mathematics, Science and Technology Education, 11(6), 1399–1413. DOI: 10.12973/eurasia.2015.1397a.
This study examined students before and after a nine-week summer vacation and identified declines in arithmetic problem-solving following the break, followed by recovery after students returned to school.
Simonsmeier, B. A., Flaig, M., Deiglmayr, A., Schalk, L., & Schneider, M. (2022). Domain-specific prior knowledge and learning: A meta-analysis. Educational Psychologist, 57(1), 31–54. DOI: 10.1080/00461520.2021.1939700.
This meta-analysis examines the relationship between students’ existing domain-specific knowledge and subsequent learning and provides an important research foundation for understanding why the quality of prerequisite knowledge matters when students encounter new material.