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14:T1e85,1,2,4について具体的にお答えします。3については最後の方にちょっとだけ。 まず側近の勉強、1,2について結論です。それぞれの理由は 1.理科の勉強について YouTubeなどで「高校化学」「高校物理」などと調べて動画を視聴、わからないところは教科書やネットで調べましょう。問題集は各章を学習した日の翌日に解くといいです。細々と解いていきましょう。 2.数3の勉強について これも動画の視聴、演習問題を細々と解いていくのをお勧めします。加えて、こちらは他の数学と合わせて問題集の問題を5題程度(自分に合う量を探ってください)、毎日解くようにしましょう。毎日の生活に数学を習慣づけます。 以下は理由です。 1.2に共通して動画の視聴をお勧めしています。これは初学を本を読んで自分でやるのがとても効率が悪いからです。教本を自力で読むと、わからないところでいちいち読み止まることになります。一方で動画で強制的に進めていってくれたほうが実は後からわかるようなこともあり、吸収がしやすいです。(さすがにそこからの内容が全部全然わからん!となったら教科書などで調べましょう。) 翌日に問題を解くのは、人は大体一旦それくらいで学習内容を忘れるからです。つまり「復習」をしよう、ということです。教科書などを参考にやり直しすることで思い出します。 さらに大きく一区切りしたら、章の終わりの総合問題などを解いてもう一度復習するわけです。 細々と、を強調するのはハードルを下げ習慣化するためです。いつも載ってる問題を全部やる必要はなくて、ぱっと読んですぐ方針が思いつかないような問題を選び、軽く解くようにしてください。楽に勉強していきます。 2.数学では毎日5題くらい解いてくださいと述べました。これは数学で経験と勘がとても必要にるからです。というのも、解ける問題を選別し、方針を立てる能力は直感力に依るからです。それを得るための習慣化です。 特に数3は、四則演算に加えて新しい計算法として微積分と複素数を学ぶだけ、と言って過言ではないです。その計算に慣れるための習慣を獲得しましょう。 4.理系科目のその先の勉強について まず宇宙の話です。 東京大学の中で宇宙に近い学科は、工学部の航空宇宙工学科、理学部の物理学科、地球惑星物理学科あたりでしょう。 正直これらはとても人気が高く、大学に入ってからも進振りでこれらに入るためにはかなり勉強が必要です。一応覚悟してください。 他の学部からの宇宙について視点を述べます。 僕は農学部です。この分野でも、植物産生素材や農業、農芸化学の分野で宇宙での研究を必要としているものがたくさんあって、関わろうと思えば関われるでしょう。 そういう意味でより近いのは物性科学と精密工学の分野です。学科で言えばマテリアル工学科、精密工学科あたりですね。 物質や複雑な機構の性質を調べる上で、無重力というのは重要な条件です。それだけで外力のうち大きな重力を無視できるのですから。さらには宇宙空間に耐えられる素材の開発や機械の開発は将来的に非常に重要な立ち位置を占めていきますね。 そんな感じで、周りの分野で気になるものがあれば、学際的な方法で関わることもできるかもしれません。 具体的な勉強内容として意外そうなのは、衛生の任務のための軌道計算、そのためのプログラミングの勉強とか。制御工学など本当に必要な分野は航空宇宙工学科なら必修でしょうね。 勉強していることについて とても重要なのは機械学習の勉強でしょうか。東大の一年でもこれを学習する講義があります。これからは機械学習、深層学習がどんどん社会に組み込まれていきますから、この勉強はほぼ必須だと思っています。どんな分野でも、です。 僕が所属する農学部では、最新の有機素材や生分解性、植物産生素材、微生物そのものと産生物質の多様性と利便性、環境倫理などについて勉強しています。 正直勉強するとこれらがどれも将来必要になると感じます。細かく理由を書くのは冗長になるので自重しますが。 あと、僕は情報学の院に進もうとしているので、農学とは別に電子回路、制御工学、論理回路について勉強しています。これらはパソコンの内部処理や機械学習が具体的にしていることについて理解し、応用するには必要不可欠な分野です。 で、これらの勉強は理系受験の英語と数学できないとどうにもなんないです。本当にどうにもならないです。 と、以上が1,2,4についての話でした。 ハードルは高いかもしれませんが、よく計画を立て、考えて入試を迎えてください。貴女が後輩になる日を楽しみにしています。 最後に3について地理選択理系の所感です。 共通テスト世界史はちゃんと勉強すれば9割が安定して取れるようになる良教科です。受験に関しては正直地理よりお勧めです。 その上で、日地について一旦推薦して、より悩ませてみます。 日本史 貴女は世界史を国際的人材としての教養として求めていますね。もちろんそれはとても良い発想だと思います。ただ、考えてみて欲しいことがあります。貴女は残念ながらどこにいっても、出るまではは日本で育ってきたということです。貴女のアイデンティティ、自己の形成にはどうやっても日本の風土が深く関わっています。ですから、日本のことを理解することは自分を理解することに繋がるのです。これは、国際社会に出たときこそ重要になります。国際社会では、他の人との違いとしてまず強くでるのが日本で培った価値観です。自分がなぜそんな価値観を持っているのか、他者との差を考察する上で日本についての知識はかなり重要なものであるわけです。 次に地理 これは日本史の推薦文でもで出た「風土」というものをより理論的に学べます。国際社会での他の人も含めて、より普遍的な論理や、文化、価値観についてより実際的に知ることができます。貴女と話しているその相手はどういう気候を、地形を、植生を、文化を持った場所で生まれ、育ててきたのか?それに比べて自分はどうか?この差をかなり明確に比べることが出来るようになるのです。 これら二つに共通するのは、「自己分析」です。貴女がどのような存在であるかを自分で知ること。そしてそれに適した行動を行い、他方で型を破って進歩すること。これは現代社会で普遍的に一番求められるものです。 こういった視点だと、これらも国際社会で重要になることをなんとなくわかっていただけたら幸いです。15:T1fab,以下、私の理解が浅薄で誤っている場合は申し訳ございません。「ふーん」程度で読んでいただければ幸いです。 ⑴ 記憶について  人間の記憶にはいくつかの種類があるようです。「記憶の対象である知識が言葉によって表現できるか否か」という性質で区別するならば、「言語的な知識の記憶」と「非言語的な知識の記憶」とに分かれるでしょう。  前者は専ら「意味記憶」と言われます。簡単には、「○○は☆☆である」のような一般的な知識の獲得・保持です。意味記憶の対象となる、言葉によって表現し獲得できる知識を「命題的知識」(略して「命題知」)といいます。  これに対し、後者は大きく二つに分かれます。一つは、五官によって得た感覚の記憶です。その対象(すなわち、五感)を仮に「感覚知」と呼びましょう。匂いや音、触った感触などは、多くは「○○の(ような)匂い」と比喩を用いて表されるか、「鈍い音」「滑らかな肌触り」などと大まかな特徴を捉えて表されます。このように感覚知は、他の存在を借りるか、あるいは程度に幅をもたせることによってしか表現できないことが多く、直接にそれ自体を言葉によって完全に再現することは極めて困難です。その意味では、非言語的な知識に分類されると考えて差し支えないでしょう。  いま一つは、一般に「体が覚えている」といわれるものです。このような記憶を、「手続記憶」といいます。手続記憶の対象となるのは「技能知」と呼ばれます。つまり、「やり方を知っている」ということです。この名から察する通り、手続記憶は、技能の習得にかかる記憶です。卑近な例を挙げると、久しく乗っていない自転車も、いざ乗ってみれば、前のように問題なく運転できたとか、小さい頃に辞めたピアノも、今弾いてみると、案外弾き方を覚えているとかいった経験は、誰しも心当たりがあると思います。このような身体による(身体の活動も源流を辿れば必ず脳を介するので、このような表現は語弊を招くかもしれませんが)記憶が手続記憶です。手続記憶は、練習によって獲得するほかありません。  なお、命題知と技能知は相互排他的な関係にはなく、同一の経験によって両方を得ることも考えられます。自転車の例で見ても、実際に自分の足でペダルを漕ぎ、前進する感覚を得るのは技能知ですが、これにより得る「ペダルを漕げば自転車が前に進む」という一般化された知識は命題知です。 ⑵ 記憶の観点からみる数学  このような記憶の観点から見たとき、数学における公式・定理や解法の知識は、それ自体として命題知であると言えるでしょう。それに対して、これらの知識を他の問題に実際に応用することは、技能知の獲得に係る行為だと言えます。つまり、ご相談の内容に照らして簡単に換言すれば、解法暗記は意味記憶であるのに対し、それを用いて模試などで問題を解けるようになることは手続記憶であると言えましょう。実際、問題を解くときに頭の中で行われているプロセスを言語化しろと言われても難しいですね。  そうすると、手続記憶である以上、定期的な練習が不可欠です。なぜなら、技能知は非言語的な知識だからです。言葉によって得られない知識は、夥しいほどの練習によって身に染み込ませるほかありません。一問・一解法の単射的な意味記憶だけでは不十分だと思います。基礎問で得た解法を応用するには、基礎問にない、しかし同じ解法によって解かなければならない問題を解くことが必要です。応用とは本来そういうものです。所謂類題を解く意義はここにあると私は思います。  しかし、逆に言えば、手続記憶である以上、体がそのプロセスを覚えてしまえば、ある程度間隔が開いても対応できるようになります。それは、先の自転車やピアノの例の如くです。数強と言われる人たちは、このような知識の身体化に成功した者たちのことを言うのではないでしょうか。つまり、初見の問題にさえ条件反射的に解放を導き出せる(基礎問でいえば、初見の問題と基礎問の問題との共通点や相違点を瞬時に見出し、使える解法を直ちに検索できる)ほど、演習量をこなしてきた者たち、問題へのアプローチの仕方が骨身に染みている者たちです。 ⑶ まとめ  私自身も何を言っているのかわからなくなってきましたが、まとめると、①理解したうえでの解法暗記も、未だ意味記憶にとどまっている以上、その理解を他に応用する練習が別途不可欠であること、②その練習による手続記憶の獲得は一朝一夕にはできないこと、③そのためには練習を定期的に数多く踏むことが重要であることの3点がお伝えしたかったことです。まぁ一言で言えば、とにかく量(解いた回数だけでなく、解いた問題の幅広さも)をこなすことが何よりの前提であるということです。基礎問3周で解法の基礎的なインプットは十分済んでいると思うので、これからはとにかくアウトプットとして色んな問題に触れていくことが大事だと思います。 ⑷ 私がやった問題集  以下に、私が使った問題集を挙げておきます。授業の予習や課題として、教科書・4STEP・New Action Legend、それから高2の後半くらいからは授業も総演習になり、それ用に買わされたのが『ニューグローバルマーチ 数学Ⅰ+A+Ⅱ+B』(東京書籍)と『実戦 数学重要問題集ーー数学Ⅰ・A・Ⅱ・B(文系)』(数研出版)です。これに加え、自習用として購入し、やっていたのが『文系の数学 実戦力向上編』(河合出版)と『数学ⅠAⅡB 上級問題精講』(旺文社)です。これらは高2の冬くらいから買ってやっていました。高3の直前期の授業では、学校の先生が難関代受験者用に作ってくれた問題冊子(100題ありました)が配布されたので、それをやりました。高1・高2では学校の任意の発展課題もやりましたし、高二の時の休み時間では東北大や京大の過去問にも手出ししました。こうして振り返ると結構やってますね、自分でもビックリです。ただ、私のやり方はかなり乱雑というか何というか(あまり精緻に計画立てて進めた記憶がない)だったので、参考にならないかもしれません。ちなみに、上級問題精講は、私がやった数学の問題集の中では一番お気に入りです。 ⑸ 余談  最後に余談ですが、記憶や学習に関することについて興味があれば、鈴木宏昭『私たちはどう学んでいるのか 創発から見る認知の変化』(ちくまプリマー新書・2022年)や、信原幸弘『「覚える」と「わかる」 知の仕組みとその可能性』(ちくまプリマー新書・2022年)など読んでみると面白いかもしれません。どちらも刊行の新しいものである故、今は読んでる暇がないかもしれないので、受験が終わった後にでもぜひ。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-6","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/xmlqqjx3","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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mb-1","children":"二項定理にCがなぜ出てくるのか。\nこれを覚えることが「本質」ではありません。\n僕もこれを教えることが多いですが、身近に感じてもらったり、興味を持ってもらったりすることが目的です。\n\nじゃあ「本質」とは何なのか?\nそれは、\nなぜこの問題で二項定理を使うことが適切なのか?\nということです。\n\n網羅系の問題集をやっている人のほとんどは\n「数学は暗記」\nという言葉の意味を勘違いしています。\n\nこの言葉には2通りの解釈があります。\n①解法自体を暗記する\n②こういう形が出てきたとき、この解法を使うということを暗記する\n\n「数学は暗記だ!」と繰り返してる頭のいい人がいますが、それは後者のことを示しています。\nしかし、その言葉を聞いた受験生は前者だと思い込んでいる訳です。\n日本語って難しいですね。。\n\n冷静になって考えてみて下さい。\n解法丸暗記をして成績が伸びるわけないですよね?\nこれが数学で苦しむ人が多い原因です。\n\nこれを読んでいる貴方は明日から数学に対する向き合い方が変わります。\n「解法の丸暗記」なんて止めて下さい。\nいつまでチャートを周回しているんですか?\n\nいつどこで、どういう時にその武器を使うのか。\nそれを学んで下さい。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"数学ができない。理解できない。"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!\n\n数学はまず公式を覚えてないと解けないんだけど、覚えててもあることができてなければ解けません!それは公式をどこでなぜ使うのかを理解することです!\n\n例えば判別式!ただ単にこんな問題にはb^2-4acすればいいやって思ってませんか?判別式は解の個数を求める時に使いますが、これをグラフに置き換えると二次関数のグラフとx軸が交わるかどうか、交わるなら一個なのか二個なのか接するのかなどなど。その公式には意味があるからこそ公式になってます。ただ公式を覚えただけでは、今は取れても入試では木っ端微塵に切り刻まれます、、、\n\n青チャもいい参考書です!もし青チャをやるならば解説もしっかり読んで、例題を解いたら類題もしっかりやり込んで確認してください!\n\nもし、青チャでもよくわかんないって時は教科書をやりましょう!教科書こそ1番の基礎の参考書です!例題解いて問題解いて、まず教科書レベルを確実に抑えましょう!意外と抜けているところが見つかるかも?\nファイト!"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"本当に理解できないです"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私の高校の理科の先生と同じスタンスで共感させていただきました。物理は先生が合わず、化学は授業がいい加減。全く困り物でした。おかげさまで理系コーズなのに理科は死んでいました。\n私がとった勉強法は次のとおりです。\n物理\nエッセンスや良問の風などで演習量を増やし、ある程度理解できたかな?と思えるあたりで教科書を読み直す。すると初見で教科書を読んだ時の何倍もの興味と知識がすんなり頭に入ってきます。重複する知識も多いですが、なぜこの公式が使われているのか、その証明なども理解することができ、いかに自分が理解できていないかを痛感させられます。(公式だけ覚えていても、その背景と証明、幅広い応用と他分野へ公式の対応関係などなど、この辺りは問題解くだけでは身につきません)\n化学\n物理と流れは同じです。\n(しかし私は化学に取り掛かるのが非常に遅く、高1の終りのときには化学は全くなにもわからない状態でした。このように無責任にいうのは控えた方が良いことは承知の上で申し上げますが、理論化学は高3になってから始めて、追い込んでも私は間に合いました。化学基礎は化学と内容がもろ被りする分野が多いので、あまり困らない印象でした。あくまで私個人の意見ですので参考までに。)化学のコツは、計算する際は常に単位を意識して、この計算式を解いたらどのような単位になる?ということを常に追っていくことです。数値計算する際に、単位も同じように計算していくことをお勧めします。これだけで1、2年の計算分野はある程度困らないかと思います。(ほんとに)\n\n好き勝手言わせていただきましたが、参考例の一つとしてお読みいただけたら幸いです。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"京大物理・数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは \n \n 数学は大体それで大丈夫だと思いますが特に数3に重点を置いた方が良い気がします。\n \n 近年の京大数学の数3が絡む問題は2024から2021まで順に4題、3題、2題、3題となっていて平均して3題もあるのでこれだけで得点の半分を担っていることが分かります。\n\n 基本的に数3の問題は経験を積めば取れる様になっていて、それ故に、勉強時間はしっかり充てた方が良いと思われます。\n\n チャートで典型問題が解ける様になれば積極的に章末問題や総合演習もやって、更には、東大、東工大の問題もいつかはやってみると対策としては完璧です。\n \n 京大特有の整数、図形分野の対策は京大数学プレミアム→京大過去問の該当問題で演習をおすすめします。京大数学プレミアムは難易度が少し高いですが、基礎は固まってるとのことですので、解けなくても積極的に問題に対するとっかかり方を学んで行って過去問で活かしていきましょう。\n \n 物理に関してですが、原子の良問をやったら駿台の夏期講習の物理特講をオンデマンド(森下寛之)で受けてみて微積物理を学んだ後に名門を可能な限り解くというのはどうでしょうか?\n \n 私が去年駿台の御茶ノ水三号館に通って一年間トップ物理講師の授業を受けて、東大京大等の過去問を色々解いて分かったことですが、受験本番で微積を直接的に解答の導出として使う場面は正直ありません。全て教科書に書いてある基礎的な事項を積み上げればできる様になっています。\n\n では何故習うのかと言えば現象について理解を深める為です。名門とかでも最終的に現象がどうなるか分かる(答えは出せる)、けど途中何が起きているかは分からないみたいなことが多々あると思いますが、微積物理はそれらを適度に解決してくれるとともに、微積を用いた現象の全体的な理解の仕方を教えてくれます。\n \n 道標や新物理入門を独学で読んで、その理解を受験勉強に当てはめることも不可能では無いですが、かなり時間がかかると思われます。\n \n なので最終的なゴールとしては微積物理でやった事を頭に浮かべながら何故この法則を使うかなど瞬間的に考えつつ教科書にある手法だけで問題を解けるという姿を理想像にしていくならば、物理特講を取って新しく習った事を復習→名門を解きつつ道標や新物理入門を読んでみて途中経過が分からない問題等を自分なりに考えてみる、と進めていけば力がつくと思います \n \n 頑張って下さい!"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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