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mb-1","children":"こんにちは！勉強お疲れ様です🍹\n\n自分も受験期に数学はどう勉強すればいいのか悩んでいて、先生や友達に聞いたりして最終的にある勉強方法に辿り着いたので参考になればと思い回答させていただきます！\n\n質問者さんは文系とのことですので社会は勉強していると思いますが、覚えればできるようになる社会とは違って、数学は例題や公式を暗記しただけでは入試問題には太刀打ちできないし、実際自分がどのくらい成長したのかわかりにくいですよね。\n\n⭐️数学の勉強で一番大事なのは、「なぜ？どうして？」という疑問を常に持ち続けることです。\n\n難関大学の数学に取り組む時、パッと見どう解くのかわかりにくいけど解答を見るとこんなにキレイに解けるんだ、っていうパターンが結構あると思います。\nここで回答をうのみにしてしまうのは良くないです。そうすると他の問題になった時に応用できなくなってしまいます。大事なのは、どうしてこの解き方に辿り着いたのか、ということです。\n・勉強方法についてのアドバイス\n「問題の本質を理解する」とは、解法を表面的に覚えるのではなく、「なぜその解法が有効なのか」を理解することです。基礎問題を丁寧に演習し、各解法のメリット・デメリットを分析することで、応用問題において状況に応じた最適な解法を選べるようになります。解いた問題を見直す際に「別解はないか？」「他の解法では何が不都合か？」と問いかける習慣をつけると、理解が一層深まります。\n\n・追伸\n来年に入って過去問を解く時、じっくり時間をかけて解いてみることをオススメします。一応時間配分に従った時間は計りつつも、それを超過してもいいから自分なりの解き方で解いてみることです。解答と見比べて良かった点、足りなかった点等実際に手を動かしてやってみるとただ解答を見て理解するだけの何倍も得るものがあると思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"公式の意味を理解し、導けるようにすることに時間をかけるべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。公式の理解と導出についての質問ですね。\n簡単にいうと、理解するべきものと覚えてしまえばよいものがあります。\n\n数学は暗記科目ではないですが、例えば中学校で習った二次方程式の解の公式など、覚えなくては問題が解けないものも多くあります。\nしかし、こういうものはたいてい問題を解き続けていれば自然と覚えてしまうものなので、わざわざ暗記しようと気負う必要はありません。その分問題を解いて欲しいです。\n\n導出すべきものとしては、例えば半角の公式や3倍角の公式です。2倍角は自然と覚えると思いますが、上記２つの公式は使用頻度が低いため覚えるよりは毎回導出す？のをオススメします。\n導出の手順は教科書や参考書に載っています。見ながらノートに書くでも良いので一度は導出の流れを掴んで欲しいです。\nちなみに、難しいですが導出を頭の中だけでするのは計算練習や頭の体操とても良いのでオススメです。\n\n導出すべきものとそうでないものの見分け方としては、教科書や参考書に導出方法が載っていなくて、かつ使用頻度が高いものは導出せず、覚えてしまう。そよ逆のものは導出過程を一度は経験しておくという形で良いと思います。\n\n以上です。参考になれば幸いです。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学公式"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"\n文系ですが答えさせてもらいます。（数学は使ってました）\n\n今でもそうなんですが、公式の仕組みが納得できないと個人的には気持ち悪くてしょうがないんですよね。\nどうしてこの公式になるかを納得する\n→公式を暗記\n→実際に公式を使って、使用方法と公式を頭に定着させる\n\nこんな感じですかね。\n理由としては、1番はそうじゃないと気持ち悪いっていうのがあるんですが、、、笑笑\nでも、実際問題、公式の導出を問われたりする問題ありますし、また、公式の仕組みが分かってないと解けないような問題も一定数あります。\n特に、三角関数・微積分・シグマ計算あたりの公式は導出過程を理解できてると、数学的な思考力の幅が広がるイメージあります。\nもちろん、導出過程を知らなくていいのもあります。でも、一回は導出にチャレンジしてみるといいです。それで、「あー、これは公式だけ覚えておけばいい感じかな？」みたいなやつもたくさんあります。導出過程がめんどくさかったりするから、わざわざ公式にされているんで、それを覚えてしまうこと自体悪いことではないです。\n\n公式の結果だけを覚えておくパターンのやつは、とくに物理・化学に多い印象ですね。「実験の結果、こうなった」とか、「この公式を定義とする」みたいのは、理科系では多いです。そういうのは、あまりこだわらず、一回くらい説明書き読む程度でいいと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学 勉強で常に意識すべき事と本質の理解"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！東大理3のゆきです。まず、数学を勉強する上で最も意識すべきことは、「問題を見たときに解法の方針がすぐに思い浮かぶ状態」を目指すことです。単に解けたというレベルではなく、「この問題はこう考えるべきだ」という見通しが自然に浮かぶまで練習を重ねることが重要です。そのためには、一問一問を「なぜこの解法になるのか」と自問しながら取り組むことが必要です。公式や解法をただ覚えるのではなく、「なぜその式を立てるのか」「なぜその変形を使うのか」といった“理由”を意識することで、より深い理解が得られます。\n\nまた、問題を解くたびに「この問題はどういうタイプで、どんなアプローチを取るべきか」という視点で分類する習慣をつけることも大切です。青チャートなどの問題集を解き進める中で、「これは二次関数の最大最小の典型問題だな」などとパターンを意識して整理していくことで、類題に出会ったときにすぐに解法が浮かびやすくなります。\n\n勉強の進度としては、高3の4月までに数IA・ⅡBの基礎を一通り終えておくことが理想です。これは共通テストや志望校対策に十分な時間を残すためにも必要な目標です。具体的には、高2の夏までに数IAの基礎を固め、冬までに数Ⅱ、春までに数B（数列・ベクトル）を終わらせることを目指します。\n\nさらに、問題の本質を理解するためには、解答の手順を自分の言葉で説明できることがひとつの目安になります。誰かに「なぜその式を使うのか」「なぜその考え方が成り立つのか」と聞かれたときに、しっかり説明できる状態であれば、理解はかなり深まっているはずです。また、特に関数や図形の分野では、グラフや図を使って視覚的に理解することも効果的です。計算だけに頼らず、図からアプローチすることで、より直感的に問題の構造をつかむことができます。\n\n最後に、数学は積み重ねの科目なので、どれだけ“型”を身につけ、それを再現できるかが実力を決めます。ただし、それは暗記とは違い、「理由を理解した上で再現できるようにする」ことが重要です。青チャートの例題を使って、すぐに解法の方針が立てられる状態を目指して繰り返し練習していくことで、確実に力はついていきます。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"答え見てもわからない問題"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！東工大理学院のひろと申します！\n\n数学で、答えを見ても分からない問題がある時の対処法をお伝えしようと思います！\n\nまず、教科書に載っている基本事項が抜けていないか確認しましょう。大抵の問題は基本事項を抑えることが出来ていれば、解説を読めば理解出来るはずです！それでも分からないという場合は数学の先生に聞くなどして解決しましょう。その際も、ここまでは理解できたが、その先が分からないという聞き方をするとスムーズで仕事が早いでしょう。\n\nでは、教科書に載っている基本事項を抑えるとはどういうことなのかをお伝えします。まず、大切なのは公式を一通りマスターすることです。もちろん公式の丸暗記はよくありません。なぜその公式が導かれるのかを自分で説明できるようになって初めてその公式をマスターできたと言えるでしょう。実際に僕は公式は無理に暗記せず、なんとなくで覚えて全て導出できるようにしていました。あとは、問題を解いていく中で自然に使えるようになります。覚えようとして覚えるのではなく、使っていくうちに覚えるのが効率が良いと思います。また、公式をマスターした後に解く問題は教科書の例題程度で構いません。教科書の例題は舐められがちですが、重要な例題が沢山載っているのでしっかりマスターしましょう。その後は、教科書の章末問題、網羅系参考書といった順番で進めていくと良いでしょう。僕は網羅系参考書でFocusGoldを使っていました。この流れで進めていけば大抵の問題で解説を理解することは可能だと思います。(初見で解けなくても)\n大切なのは、丸暗記しないことです。数学は暗記科目ではありません。必ず思考のプロセスがあります。それをおろそかにするといつか難しい問題に当たった時に行き詰まります。そうならないように、日頃から思考のプロセスを意識して数学の勉強をしてください。思考のプロセスとは、何故そのような変形をするのか、何故その公式を使うのかなどのことです。これを説明できるようになると、数学の力がどんどん上がっていくでしょう。\n\n最後に、何故そうなるのかを意識しながら数学の勉強を進めてください。分からないことがあれば基本事項に立ち返って、周りの人に頼りながら頑張ってください！良い結果が出ることを心から祈ってます！！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"全国統一記述式模試"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは、名古屋大学医学部医学科のメイメイといいます。\n\n数学に限らず理系科目はどれも｢理解｣の科目です。\n数学の問題を解く上でとにかく大事にして欲しいのは、公式を使う際に｢なぜその公式を使うのか？｣、説明を書く際に｢なぜその説明が必要なのか？｣を自分自身で理由を言える状態であることです。\n\nもしこれができてないと、単純に問題が解けないorなんとなくだけど解ける、という状況になってしまいます。これが一番良くないです。\n\n｢なぜこの公式を使うか｣｢なぜその値を出す必要があるか｣など、数学で解答を書く際に、その解答すべてを自分で理由説明できるようにすれば、どんなに捻られた問題でも対応出来るようになるはずです。"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学　難問"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私はそのような問題の解説を読むとき\n\n・なぜここでその公式を用いようと思ったのか\n・なぜ他にも可能性が考えられる方針ではなく、その方針にしたのか(どこがポイントで方針が決められたのか)\n\nを考えながら読み、自分でルーズリーフにまとめて書いていました。\n\nまた、長期休みなどの区切りの時期にそのまとめた問題を全部解き直しし、何も見ずにその問題たちが解けるまで何回も繰り返していました(これは解法暗記になってたかもしれないですが、類題に気付きやすくはなったので、損はしてないかなと思います！)。\n\n自分で書き出した解説は、数学の塾の前や模試の前などにみて、一種の解法の流れの暗記みたいなのをしてました。\n\n\n少しでも参考になれば嬉しいです🙇‍♀️"}],["$","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 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