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    <title>Daniel Sheedy — Mathematics, Science, Coding and Practical Tools</title>
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    <description>Daniel Sheedy’s professional portfolio: secondary Mathematics and Science teaching, 286 complete worked Mathematics lessons, four interactive browser Tools, 16 case studies, and 27 developed articles with connected lessons, Tools and project records.</description>
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      <title>About Me: Teaching, Mathematics, Science and Building Useful Tools</title>
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      <pubDate>Tue, 18 Aug 2026 00:00:00 +0000</pubDate>
      <category>Practice</category>
      <description>A direct introduction to my teaching, Mathematics, Science, tutoring, computing, Christian purpose, and the practical method behind this portfolio.</description>
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      <title>Professional Practice Is a Cycle, Not a Performance</title>
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      <pubDate>Mon, 17 Aug 2026 00:00:00 +0000</pubDate>
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      <description>A practical account of planning, action, observation, adjustment and documentation as one continuous professional cycle.</description>
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      <title>How I Organise a Working Portfolio</title>
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      <pubDate>Sun, 16 Aug 2026 00:00:00 +0000</pubDate>
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      <description>How I organise projects, teaching resources, articles and tools so that the public record remains useful, honest and appropriately bounded.</description>
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      <title>My Pedagogy: Clarity, Challenge, Care and Revision</title>
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      <pubDate>Sat, 15 Aug 2026 00:00:00 +0000</pubDate>
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      <description>A practical account of the four commitments that guide my planning, explanation, checking, support and classroom revision.</description>
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      <title>Teaching Is the Work Between Explanation and Independence</title>
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      <pubDate>Fri, 14 Aug 2026 00:00:00 +0000</pubDate>
      <category>Teaching</category>
      <description>How modelling, guided practice, checking and fading support help learners move from explanation to independent action.</description>
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      <title>Extension Means Greater Depth, Not Merely More Work</title>
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      <pubDate>Thu, 13 Aug 2026 00:00:00 +0000</pubDate>
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      <description>A practical approach to extending Mathematics and Science through depth rather than simply adding pages or accelerating content.</description>
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      <title>Support Should Open the Door Without Carrying the Student Through It</title>
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      <pubDate>Wed, 12 Aug 2026 00:00:00 +0000</pubDate>
      <category>Teaching</category>
      <description>How I select, check and fade support without lowering the intended Mathematics or Science thinking.</description>
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      <title>From a Formula to a Complete Mathematics Lesson</title>
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      <pubDate>Tue, 11 Aug 2026 00:00:00 +0000</pubDate>
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      <description>How the mathematics library turns compact formulas into complete micro-lessons with meaning, reasoning, conditions and practice.</description>
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      <title>Feedback Should Change the Next Attempt</title>
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      <pubDate>Mon, 10 Aug 2026 00:00:00 +0000</pubDate>
      <category>Teaching</category>
      <description>A practical method for making feedback actionable, proportionate and connected to the learner’s next piece of work.</description>
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      <title>Differentiation Without Lowering the Mathematics</title>
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      <pubDate>Sun, 09 Aug 2026 00:00:00 +0000</pubDate>
      <category>Teaching</category>
      <description>A practical approach to differentiation that responds to evidence without quietly replacing the intended Mathematics learning.</description>
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      <title>Worked Examples: Keep the Reasoning, Fade the Support</title>
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      <pubDate>Sat, 08 Aug 2026 00:00:00 +0000</pubDate>
      <category>Teaching</category>
      <description>How I design, annotate and fade worked examples so that support leads towards independent mathematical choice.</description>
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      <title>A Mathematics Worksheet Is an Interface</title>
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      <pubDate>Fri, 07 Aug 2026 00:00:00 +0000</pubDate>
      <category>Teaching</category>
      <description>Why I treat Mathematics worksheets as learning interfaces and test both the mathematical sequence and the page itself.</description>
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      <title>Christ-Based Teaching: Truth, Dignity, Service and Hope</title>
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      <pubDate>Thu, 06 Aug 2026 00:00:00 +0000</pubDate>
      <category>Faith &amp; Education</category>
      <description>How Christian purpose shapes ordinary teaching decisions through truth, dignity, service, justice, grace, stewardship and hope.</description>
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      <title>Why Mathematics Matters: Pattern, Proof, Model and Decision</title>
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      <pubDate>Wed, 05 Aug 2026 00:00:00 +0000</pubDate>
      <category>Mathematics</category>
      <description>A first-person account of why I teach Mathematics as more than calculation: pattern, proof, modelling, representation and judgement.</description>
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      <title>Calculus: Change, Accumulation and the Meaning of a Limit</title>
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      <pubDate>Tue, 04 Aug 2026 00:00:00 +0000</pubDate>
      <category>Mathematics</category>
      <description>A developed introduction to derivatives, integrals, limits, units, numerical methods and the Fundamental Theorem of Calculus.</description>
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      <title>Units Belong in the Working</title>
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      <pubDate>Mon, 03 Aug 2026 00:00:00 +0000</pubDate>
      <category>Mathematics</category>
      <description>Why I keep units visible through Mathematics and Science calculations rather than attaching them only at the end.</description>
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      <title>The Quadratic Formula, Derived by Completing the Square</title>
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      <pubDate>Sun, 02 Aug 2026 00:00:00 +0000</pubDate>
      <category>Mathematics</category>
      <description>A line-by-line derivation of the quadratic formula, followed by checks using factors, roots, graphs and the discriminant.</description>
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      <title>A Short Proof That the Square Root of Two Is Irrational</title>
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      <pubDate>Sat, 01 Aug 2026 00:00:00 +0000</pubDate>
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      <description>A concise proof by contradiction, with the parity step and the lowest-terms assumption made explicit.</description>
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      <title>Exact Values, Rounding and Error</title>
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      <pubDate>Fri, 31 Jul 2026 00:00:00 +0000</pubDate>
      <category>Mathematics</category>
      <description>How I distinguish exact and approximate values, avoid premature rounding and report error with an appropriate level of precision.</description>
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      <title>The Distance Formula Is Pythagoras in Coordinates</title>
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      <pubDate>Thu, 30 Jul 2026 00:00:00 +0000</pubDate>
      <category>Mathematics</category>
      <description>A visual derivation of the distance formula, with a worked example, sign checks and extensions to three dimensions.</description>
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      <title>Humidity, Heat Index and the Limits of a Model</title>
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      <pubDate>Wed, 29 Jul 2026 00:00:00 +0000</pubDate>
      <category>Science</category>
      <description>A classroom explanation of relative humidity, evaporative cooling, heat index, measurement and responsible model interpretation.</description>
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      <title>Particle Models: Useful Representations, Not Literal Pictures</title>
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      <pubDate>Tue, 28 Jul 2026 00:00:00 +0000</pubDate>
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      <description>How I use solid, liquid and gas particle diagrams while keeping the purpose and limitations of the representation visible.</description>
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      <title>Projectile Motion: Two Motions, One Path</title>
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      <pubDate>Mon, 27 Jul 2026 00:00:00 +0000</pubDate>
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      <description>A worked explanation of projectile motion, the parabolic path, complementary launch angles, model assumptions and simulation checks.</description>
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      <title>A Good Science Practical Makes the Thinking Visible</title>
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      <pubDate>Sun, 26 Jul 2026 00:00:00 +0000</pubDate>
      <category>Science</category>
      <description>How I design Science practical work so that students can connect action, data, model and evaluation.</description>
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      <title>Computing, AI and Tools: The Good, the Bad and the Necessary Judgement</title>
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      <pubDate>Sat, 25 Jul 2026 00:00:00 +0000</pubDate>
      <category>Development</category>
      <description>A practical account of useful AI applications, verification, privacy, bias, dependence, academic integrity and human responsibility.</description>
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      <title>From a Classroom Problem to an Interactive Tool</title>
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      <pubDate>Fri, 24 Jul 2026 00:00:00 +0000</pubDate>
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      <description>The practical path from identifying a classroom need to designing, testing, documenting and publishing an isolated browser application.</description>
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      <title>Why I Build Local-First Tools for Real Workflows</title>
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      <pubDate>Thu, 23 Jul 2026 00:00:00 +0000</pubDate>
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      <description>Why I often keep the core workflow close to the user’s device, while making every external dependency and recovery path explicit.</description>
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