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contributed by Tulika Samal
In today’s rapidly changing world, the ability to think critically is more valuable than ever.
Mathematics, often perceived as a subject of numbers and formulas, is in fact one of the most powerful tools for developing critical thinking. At the heart of meaningful mathematics lies the ability to analyze, interpret, and justify reasoning.
For many learners, mathematics becomes a set of procedures to memorize; apply a formula, follow steps, and arrive at an answer. While this approach may produce correct results in familiar situations, it often falls short when students encounter new or complex problems. True mathematical reasoning begins when students ask:
Developing reasoning shifts the focus from simply getting the answer to understanding the process. For example, instead of just calculating a discount, a student explains why 20% off followed by 10% is not the same as 30% off.
Mathematical reasoning helps in real life decision-making such as budgeting, comparing offers, and interpreting data. It helps to build problem solving confidence and independence. Mathematical reasoning also supports careers in fields like STEM and finance.
Mathematical reasoning is not just getting an answer. It involves analyzing a problem, interpreting what the result means, and justifying why the thinking is sound.
Mathematical reasoning is not just getting an answer. It involves analyzing a problem, interpreting what the result means, and justifying why the thinking is sound.
| Reasoning Skill | What Students Do | Example | Why It Matters |
|---|---|---|---|
| … |

Cognitive dissonance is the psychological discomfort people feel when their beliefs, values, or self-image conflict with their actions, decisions, or new information.
Cognitive dissonance is a theory in psychology describing the tension that arises when a person holds inconsistent beliefs, or when behavior conflicts with stated values. That discomfort often motivates the person to reduce the inconsistency by changing behavior, revising beliefs, or adding a justification.
A belief, value, or self-image clashes with a behavior, decision, or new information.
Example: A student believes honesty matters but cheats on an assignment.
The inconsistency creates internal tension such as unease, guilt, defensiveness, or pressure to explain the mismatch.
Example: The student sees the behavior as inconsistent with being an honest person.
The person tries to reduce the discomfort by changing the behavior, changing the belief, or adding a justification.
Example: The student stops cheating, redefines the act as “not really cheating,” or claims the assignment was unfair.
The person…

When Accommodations Exist but Access Doesn’t: A Middle School Reality Check
contributed by Pramod Polimari, middle school special education strategist
In middle school classrooms across the country, accommodations are in place.
IEPs are written.
Support plans are documented.
Students are technically “included.”
And yet, many students still struggle to access learning in meaningful ways.
This disconnect—where accommodations exist on paper but access breaks down in practice—is one of the most common and least discussed challenges in middle school education. It’s rarely the result of negligence or lack of care. More often, it emerges from well-intentioned assumptions about independence, readiness, and what middle school students “should” be able to manage on their own.
The Middle School Shift That Changes Everything
Middle school marks a sharp transition. Expectations increase rapidly, not just academically but behaviorally and cognitively. Students are expected to manage multiple teachers, track assignments independently, navigate complex schedules, and keep pace with faster instruction.
For students with learning disabilities, ADHD, or executive functioning challenges, this shift can quietly dismantle access—even when accommodations are technically available.
The challenge isn’t that accommodations disappear. It’s that the environment changes around them.
What worked in elementary school often assumes a level of adult scaffolding that middle school systems quietly remove. The result is a growing gap between what students are entitled to receive and what they can realistically use during instruction.
When Independence Becomes an Assumption, Not a Skill
One of the most common middle school assumptions is that students should now “self-advocate” and “manage their accommodations.”
In theory, this sounds reasonable. Independence is an important long-term goal….

Bloom’s Revised Taxonomy changed the original 1956 framework by updating the level names to verbs, reordering the top levels, and adding a second dimension for types of knowledge. The revision clarifies what students do cognitively and how those actions interact with factual, conceptual, procedural, and metacognitive knowledge.
| Original (1956) | Revised (2001) |
|---|---|
| Knowledge | Remember |
| Comprehension | Understand |
| Application | Apply |
| Analysis | Analyze |
| Synthesis | Create |
| Evaluation | Evaluate |
The revision introduced the Taxonomy Table: a grid that crosses six cognitive processes with four knowledge types. This helps teachers specify outcomes and assessments more precisely, for example, Analyze x using conceptual knowledge or Apply y using procedural knowledge.
From 1995 to 2000, a team led by Lorin Anderson and David Krathwohl updated Bloom’s…

contributed by Meg Price, the ei experience
Social-emotional learning (SEL) by definition is a process for learning life skills, including how to deal with oneself, others, and relationships, and work in an effective manner.
Although there are many great SEL programs, SEL can also be incorporated into each lesson as a way of teaching students to understand how to action the skills in a variety of situations and form positive habits. All students start school with some level of social and emotional skills, and all will develop their social and emotional skills at different rates.
Parents and teachers are both responsible for teaching students life skills, and certainly, much of what they learn will be by watching our actions. The five strategies below are will not only benefit students’ social-emotional learning, but can also be beneficial to teachers’ well-being, too.
See also The Benefits Of Social-Emotional Learning
5 Strategies For Incorporating Social-Emotional Learning Into Your Classroom
1. Through mindfulness
Mindfulness is: paying attention, in a particular way, on purpose, in the present moment, non-judgmentally.
We are hearing more and more about the benefits of mindfulness for children. Increased attention leads to better performance academically and increased emotional and social intelligence. Children are better able to learn, nurture themselves, and be aware of their own emotional needs.
Mindfulness practices help students focus on their breath, body, thoughts, feelings, and the world around them. When they can observe their thoughts and feelings, they have the freedom to choose how they will speak and act–which can lead to a happier, more harmonious classroom.
There are many mindfulness activities available for free–on YouTube, for example. Further, there are mindfulness and meditation apps that can provide frameworks for getting started. Why not start each lesson with a different mindfulness…

by Terry Heick
There are ideas and then there are ideas between ideas.
The spaces between ideas can be pregnant with ideas of their own in the same way that there are stars and then there are spaces between the stars. And these spaces matter because they’re dark and dark (and its absence) characterizes light.
Okay, how about this: Every reality has factors. Every effect has a cause. Every data point has a context. You can separate these relationships in a temporary kind of singularity in order to examine them, but in doing so risk losing the thing itself because the thing doesn’t just have a context but only exists in a context.
We may fail to recognize these factors and causes and contexts, but they’re there. We may fail to extract the right lessons from these factors and realities and causes and effects and contexts and data, but they’re there, ready to be extracted.
And it’s not just about contexts and relationships. There are distinctions here too—nuanced distinctions that are not minor. The difference, for example, between causation and correlation. The difference between cause and effect but also the reality that it’s all relative (context) and recursive and non-linear. One thing ends and another begins and one causes the other and defines the other and depends on the other but are also entirely separate.
Which brings us to underlying assumptions.
That there are underlying assumptions that we ‘bring’ to a thought or decision may be more interesting than examining one set of underlying assumptions themselves, but we’re here for innovation in education, not epistemology.
Note: These aren’t in any sort of order because sometimes one needs another for context so I couldn’t, for example, leave #2 for last (as the most important) because it helped flesh out the rest and I thought #1 should be first even though it may not be the most important.
I….
Classroom management strategies are the deliberate actions teachers use to organize learning conditions so students can participate productively. Effective management depends on how teachers build relationships, establish routines, design tasks, and respond to behavior in real time.
Relationship building functions as a classroom management strategy because students are more likely to follow direction and remain engaged when they perceive the classroom as fair and predictable. Research has linked teacher-student relationships to improved behavioral and academic outcomes (Hamre & Pianta, 2001).
Use targeted acknowledgment
Replace general praise with brief, specific feedback tied to effort or decision-making.
Build short, consistent interactions
Use transitions or independent work time for brief check-ins with individual students.
Structure participation to reduce social risk
Use partner or small-group structures before whole-class discussion.
Establishing routines reduces ambiguity and prevents repeated correction. Effective classrooms rely on explicitly taught procedures rather than assumed habits (Evertson & Emmer, 1982).
Teach entry and start-of-task behavior
Begin each class with a consistent opening task.
Use visible cues for transitions
Post brief step sequences for common routines.
Re-teach routines when breakdown occurs
Pause and model again instead of repeating directions.
Task design influences behavior. When work is unclear or mismatched in difficulty, students disengage or…

You can find a classroom-ready copy of our Anticipation Guide prompts here.
The Great Gatsby Summary: Set in the decadent Jazz Age, F. Scott Fitzgerald’s novel follows the enigmatic millionaire Jay Gatsby and his obsessive quest to win back his former love, Daisy Buchanan. Through the perspective of narrator Nick Carraway, the story serves as a tragic critique of the moral decay and offers an engaging look at the elusive (and often illusory) nature of the American Dream.
| Character | Short Description |
|---|---|
| Jay Gatsby | A mysterious, self-made millionaire entirely driven by his obsessive desire to win back his former love, Daisy. |
| Nick Carraway | The observant, Midwestern narrator who becomes entangled in the dramatic lives of his wealthy East Coast neighbors. |
| Daisy Buchanan | A charming but superficial socialite who prioritizes wealth and security over genuine love. |
| Tom Buchanan | Daisy’s arrogant and hypocritical “old money” husband who uses his wealth and power to control others. |
| Jordan Baker | A cynical, independent professional golfer who represents the modern, detached women of the 1920s. |
| George Wilson | A beaten-down mechanic living in the Valley of Ashes who is fiercely devoted to his unfaithful wife. |
| Myrtle Wilson | George’s lively wife who attempts to escape her lower-class life through an affair with Tom Buchanan. |
| Anticipation Prompt | Suggested Tone & Vibe |
|---|---|
| People are generally honest with themselves. | Introspective & ChallengingPushes for cynical realizations about self-deception. |
| It’s easier to form opinions about things we… |

contributed by Dr. Athena Stanley
Artificial intelligence is increasingly present in education conversations. Some teachers are experimenting with it. Others are cautious. Many are simply unsure where it belongs or whether it belongs at all.
A recent Gallup poll found that three in ten teachers use AI weekly, with findings indicating improvements in the quality of certain tasks. The study also estimated that AI-supported work could amount to the equivalent of approximately six weeks of time saved over the course of a year.
Meanwhile, a RAND study found that more than half of students and teachers report already using AI in school contexts, even as formal guidance and policy have struggled to keep pace.
Amid concerns about plagiarism, bias, and the potential impact on students’ critical thinking skills, uncertainty is understandable. The question, then, may not be whether AI exists in education, but where it meaningfully fits within curriculum and assessment.
In some classrooms or contexts, integration may be limited in scope and highly intentional, emphasizing critical examination rather than routine or active use.
Several instructional domains offer starting points for this reflection. Rather than positioning AI as a solution or a threat, educators might consider how, and whether, it aligns with their instructional goals, assessment practices, and professional values.
1. Curriculum Planning and Lesson Design
Curriculum planning is one area where AI may intersect with teacher workflow, particularly during early stages of lesson design or brainstorming. Teachers may feel overwhelmed by the task, have too many ideas competing for attention, or be looking for ways to refresh familiar approaches. AI may help ease this “blank page” pressure by offering general overviews or serving as a brainstorming partner.
AI may also support more specific elements of lesson and unit planning, such as identifying alignment between…

In today’s learning area, working with digital files is an integral part of the educational process. Students create, save, share, and edit various documents every day.
They can range from simple text files to complex multimedia projects. Meanwhile, with technological progress, many students face challenges that hinder effective learning. That’s why the skill to navigate the digital space is no longer just an extra one. It must now be a core competency.
Teaching students to overcome these challenges means not only improving their academic performance. It is also about preparing them for the real world. A place where digital literacy is critically important.
See also 15 Ways To Share Digital Files
The first step toward solving the problem is to recognize its scope. Digital file challenges arise due to:
Students often get lost among a large number of documents or cannot find the files they need. They also frequently submit work in the wrong format. In such a context, there is a need to teach not only technical skills. Here appears the need for the logic behind working with files. If a student understands why certain formats are suitable for specific tasks, they can avoid many problems.
Here it’s a good idea to look into tools that simplify working with file formats. A practical example is when students use images in HEIC format. These may not open on many devices or platforms. In such cases, tools acting as HEIC to PNG converter come in handy. This can allow you to quickly change the file format without losing quality. They also ensure compatibility with most systems. In this way, you can avoid technical issues when submitting assignments. Also, you’ll make the learning process smoother.
Student…




