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1b:Tc25,まずはどの科目にも言えることですが、基礎をしっかり理解し、解けるようにしてください。

基本問題を解き、わからないところは教科書や参考書に立ち返り復習する癖をつけましょう。
そして解法パターンを身につければ、応用問題も怖くありません。

数学はとにかく問題を解けばいい、と思っていませんか？
実はわたしもそう思っていました。
なので理論もわからず、とにかく問題集（私は青チャートを使っていました）を解き、間違える日々。

しかしこの勉強法は間違っている、と浪人してからやっと気付きました。

数学には定型パターンがあります。
高校数学を難しく感じるのは、そのパターンが非常に多いためです。
なので、まずはお決まりのパターンをしっかり覚えるようにしてください。

こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。

以下、具体的な方法です。

私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。

1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）
→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。
この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。

2.例題の下にある問題を解く（標準問題）
→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。
逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。
ここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）

3.章末問題を解く（応用、発展問題）
→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。
このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。
この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。
これが解ければ模試の大問もほぼ完投できます。


このように、大事なことはとにかく、
理論を理解する
ことです。
闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。
1d:T11cb,こんにちは！現在東京大学理科二類に通っています。ホルムンクスと申します。私の実際の受験勉強の経験を通じて、数学の問題の演習の方法についてお伝えさせて頂きたいなと思います。

私の意見ですが、質問者様が提起している2つの相反する勉強法は、どちらが良いと一概に言い切るのは難しいです。いずれの勉強法についてもメリットとデメリットがあり、また目的も異なります。

まず前者についてです。

メリットはなんと言っても、時間の節約になるということです。短い時間で多くの問題を処理できるという点では時間がいくらあってもたりない受験生にとっては喜ばしいことです。

しかしもちろんデメリットもあります。それは１回やっただけでは解法が定着しにくいということです。短時間でたくさんの解法を一気にインプットするため、記憶は長く持続せず、すぐに忘れてしまいます。
また、短時間で多くの問題を扱うことで「めっちゃ勉強した感」が出て、それだけで満足してしまうことが往々にしてあります。

そして、この勉強法の目的とは、｢入試本番で使える武器をできるだけ用意すること｣です。この勉強法では過去問や問題集の問題をとにかくたくさん解いて、様々な問題へのアプローチ、解法を身につけることを目指しましょう。これが入試問題を解く上での基盤になってくれます。



続いては、後者についてです。

メリットは、入試本番に即した演習ができるということです。入試本番では、当たり前のことですが答えをみることはできません。
この勉強法では入試本番と同じように、いろんな解法を試しながら試行錯誤して粘り強く問題を解く練習になります。

デメリットは、どうしても時間がかかってしまうことです。解法が思いつかないと泥沼にはまって問題ひとつに何時間もかけてしまうということが起こり得ます。
同じ問題に時間を掛けすぎるとふと我に帰って「え？もうこんな時間？」となって時間の使い方が下手すぎる自分に嫌気がさし、メンタルに悪影響です。（これは実体験です、、）
こうならないためにはどれくらいの時間をかけるか予め決めておくのが良いでしょう。（大問題ひとつあたり30分など）

この問題の目的は、先程も少し述べましたが、｢入試本番の練習をすること｣です。時間を掛けて問題を解くという経験をするのとしないのでは、本番の立ち回りの上手さが大きく変わってきます。


ここまで2つの勉強法について述べてきましたが、これらの大きな違いとは、実践すべき時期です。

前者は、いわゆる【基礎固め】の時期にやるべきです。問題を見て、解法がすぐ思いつくというのが最終目標に据えます。
思いつかない場合はすぐに解答解説を読んで解法をインプットし、次はすぐ思いつくようになることを目指します。
このやり方が最適なのは遅くとも高３秋までです。


そして、高３夏～秋にかけて前者の勉強法から後者の勉強法へと徐々にシフトしていくイメージです。

自分がそれまで貯めてきた武器の使い方を、入試の実際の時間配分に近い形で学んでいきます。
（いわゆるセット演習というやつです。）

ここで注意してほしいのが、武器を持っていない状態で武器の使い方を学んでも意味がないということです。
言い換えると、解法のストックがない状態で粘り強く考えても何も思いつけないということです。

解法が何も分からない中で長い時間をかけて考えていても、それは時間の無駄です。

つまり、セット演習は十分に基礎が固まってから行うようにしましょう。そうすれば効果的な演習になります。


長くなってしまい申し訳ないのですが、これが私の見解です。どうか質問者様のお役に立てれば幸いです。
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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"問題演習をするノートについて"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"全ての人のアドバイスは所詮その人にとって上手くいった事の結果論でしかないという事を覚えておいて下さい。そうでなければ皆の成績は一律に差なんてなくなります。\n今の勉強方法であなた自身が上手くいっていない、結果が出ていないと感じるのであれば改善した方がいいのかもしれませんが、そうでなければ一つの考え方として頭の片隅に置いておく程度でいいと思います。\n結局、自分の性格に合った勉強法が一番結果につながりやすいので現在順調に勉強が進めらめているのであればやり方を変える必要はないと思います。\nただ、勉強する時間によって勉強の捗り方が変わると感じるの事はありました。例えば、朝は数学、昼は国語・英語、夜は暗記科目などです。\nただこれも僕がそう感じているだけで苦手科目→得意科目→苦手科目→得意科目のサイクルで勉強した法が良いと言う友人もいたので何とも言えないです。\nなので、人の意見を参考にしつつも自分の一番やりやすい方法で勉強するのをオススメします。\nネットにはたくさんの情報が流れているので、適切に判断して是非自分の勉強に役立ててください^_^"}],["$","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",[["$","path","0",{"fill":"none","d":"M0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"模試のやり直し"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私は理系ですが、参考になれば。\n\n 自分も受験期、模試ノートを作るか、模試ノート作りにかける時間を他のことに使うべきか悩みました。\n\n 私も綺麗なノート作りに凝ってしまう傾向があったので、なるべく短時間で濃い復習をするために考えた方法があります。\n それは、なるべく色を使わないことです。色を覚える(無機化学の分野など)以外は全て黒でまとめました。\n\n 英語、国語、社会(私は地理でした)は黒で知識をまとめればいいと思います。私は黒一色、何度見返してもどうしても覚えられないものに赤で線を引きました。\n\n 理系科目はノートにまとめると言うよりは、きちんと解き直す事を大事にしてください(ノートにでなくていい)。理系科目の模試のノートは文系科目のノートの半分くらいに収めたと思います。また、出来るだけノートに書く量が少なくなるように意識もしていました。\n\n 例えば、数学について、できなかった問題はもう一度解き直し(勿論解ききれなくても良い)、なるべく1行に絞って解けなかった原因を「・具体的な数値を代入し、規則性を探す」のように箇条書きにしていきました。\n なるべく少なく収まるように考えることで、より一般的な(他の問題にも活かせる)教訓が集まります(・n=1~3まで代入すると一般項の予測がつく。の様に書いてしまうと数列に限られますが、一般化した先の書き方なら、色々な分野で使えます)。集まった自分にとって大事な教訓は、時々見返し、私はさらに厳選して紙一枚にまとめ、試験前も眺めていました。\n 物理、化学も抑えるべき知識の分、数学より少し量は増えましたが、だいたい同じです。\n\n 大事なのは問題ごとの対処法を覚えることではないからです。問題ごとの対処法を覚えるだけでは、結局初見の問題で合否が決まってしまうからです。\n 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"理系科目の記述について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"思考の流れが追える程度で大丈夫です。\n細かい式変形などはスキップしてよく、\n例えば「こんな図が描けて、釣り合いからこの式が立つので、答えは◯」という粒度です。\n\n教授の独り言なので定かではないですが、\n採点のときに見るのは「正しく思考しているか」らしいです。\nつまり、計算過程などどうでもよく、\nどの情報・理論を使い、どのような式を立てたか。\nもちろん正答しているかも重要ですが、\n正しい理論に基づいて思考しているか、を見ているとのことです。\n(何度も言いますが、教授の独り言です。ホントのところは分かりません。)\n\nしたがって、他の人が質問者さんの解答を見て、\nどう考えて解答に至ったのかが判ればよいということです。\n式変形も文字の定義も細かく書く必要はありません。\n　この関係を使うとこの式が立つので、\n　これを解いて答えはAです。\nこの程度で十分伝わります。\n\nまた、解答のまとめ方ですが、\n多くの人がやっているように、\n私は試験前に真ん中に縦線を引いていました。\n東大の解答用紙は普通に使うには横に広すぎるので、\n2行に分けることで見やすく、書きやすくなります。\n(これは理科に限らず数学でも使えるのでご活用ください。)\n\n解答の記述に慣れるには、\n普段から自分の思考を書き出す癖をつけてください。\n私のオススメは、計算用紙と解答用紙を分けることです。\n計算用紙は裏紙でもなんでも良いです。\n解答用紙は罫線の入ったノートが良いと思います。\n\n問題演習の際は、解答用紙の真ん中に線を引き、\n1週間後に見直しても自分がどう考えていたのか分かるよう記述してください。\nもちろん知識問題は思考も何もないので答えだけで良いですが、\nその他の問題はすべて、思考の過程を文字化してください。\n文字にすることで、論理的思考も鍛えられるので一石二鳥です。\n\n最後になりますが、解答すべき問題に気をつけてください。\n東大の理科では、小問一つで2つ解答を求められることが多々あります。\n(〇〇はなにか。また、□□を考慮して〇〇を求めよ。みたいに。)\n私は本番、これで1つ解答を飛ばしてしまいました。\n取れる点数を落とさないためにも、\n解答すべき文言が出てきたら下線を引くでも丸をつけるでも、\nパッと見て何が問われているのかが分かる印をつけると良いと思います。\n\n以上、参考になれば幸いです。"}],["$","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":"過去問はノートにまとめるべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"数学の過去問は、ノートにまとめなくてもよいと思います。\nなぜかというと、そのような時間があるのか？と考えたとき、おそらくそのような時間をとるのは厳しいからです。\n数学だけでなく他の科目もやらなければいけない、さらに共テも対策しないといけないという中で、ノートにポイントをまとめることが重要かというと、そうではないと思います。\n\nだから、受験生に過去問をやる際にやってほしいことは、\n①セット演習のときは、解けそうな問題を絶対正解し、解けなさそうな問題は捨てる選択をする。\n②計算を合わせる。計算ミスを言い訳にしない。\n③とにかく間違えた問題を解き直し、さらに苦手分野であればそれをつぶす\n④どうして間違えたのか考える。わからなかったり、そもそも知らなかったのならそこの分野の基礎を確認し直す\n\nほんとにこれに尽きます。\nノートにまとめるより、実際に問題を解いて覚ていくといいと思います！！\n第一志望合格に向けて頑張ってくださいね👍👍"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"定石を定着させる"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n\n典型問題がよく出る大学と参考書を紹介します！\n\n過去問\n神戸大学\n神戸大学の数学は典型問題が多く、定石を覚えるのにいいと思います。あくまで過去問なので、分野もバラバラでハンドブックのように扱うのには向いてません。\n参考書\n青チャート　新数学スタンダード演習\n特にスタンダード演習についてですが、この参考書は難関大志望者が「これは定石」と言いたい問題集のようなものなのでとてもオススメです！\n\n余計なお世話かもしれませんが、質問を見て気になったことを話します。\n定石を覚えるのは大事ですが、問題への向き合い方も大事で、質問者さんは後者が疎かになっていませんか？\n後先考えないで式を作ったり、最終的にどうしたいのかわかっていないとおっしゃっているのでそのように感じました。それだと時間を無駄にしてしまう可能性があるので問題への向かい方を変えた方がいいです。具体的には問題を見てすぐ解くのではなく、3分くらいはどう解くかの方針を立てた方がいいということです。\n僕は数学で方針を立ててから解くことで成績が伸びました。\n\n頑張って下さい！\n応援しています！\n京大で待ってます！！！\n\nこの解答がいいなぁと思ったらファンになって頂けると幸いです。高評価もよろしくお願いします！"}],["$","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":[["$","div",null,{"className":"mb-1","children":"京大理系数学の伸ばし方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"ゆるセイさん、初めまして！\n\n\n手が全く付けられない問題をずっと考えようとしても、考えが進まず思考力が得られている実感がないですよね。\n\n\n実際基礎ができていない状態で応用問題なんかをずっと考えてもあまり意味がないのかなと思います。\nここで言う基礎というのは、ある問題を見た際に分野ごとに分類でき、解法が何通りかすぐに思い浮かぶことです。\n\n京大の数学は1から自分で方針を作って最後まで持っていく力が必要になってくるので、難しい問題を解くときの最初の考え方としては、\n\nこのような問題なら使えそうな解法がα、β、γの３通りあり、いくつか実験してみてαとβはダメそうで、γがいけそうだからこれで一旦解いてみる\n\nというように方針づくりが必要になってきます。\n\n\n最初になんとなく思いつく解法がたくさんあればあるほど、どの解法が使えそうかじっくり考えることができ、その過程で思考力が身につくのだと思います。\n\nなので、ノートなどにチャート式で解法をまとめたりするのもオススメです。\nまた、私は世界一分かりやすい京大理系数学という参考書をこの時期に利用していました。分野ごとに実際の過去問を例題として解説が詳しく書いてあり、方針作りを勉強するには便利でした。\n\n\n\n取れる問題を見極める力も上で書いた方針づくりに関係してきます。問題を見た際にいくつか方針が立つものから手をつけるということなので、基礎が固まっていないと難しいです。\n\n\n\n長くなってしまいましたが、参考になれば幸いです☺️\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"チャート式の使い方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"個人的にそこまでしなくて良いと思います。チャートは解法の流れを抑えるのに使いましょう。赤チャートをⅠ.Ⅱ.Ⅲと総合演習以外全部解きましたが、各章ごとに毎回⭐️1.2.3を最初に全部解き、ミスも直した後に⭐️4.5を解き、そこのミスも治してから章末問題を解く、という流れで使いました。東大、京大の入試問題も基本的な問題、もしくは基本的な問題で使う解法の流れを幾つか合わせた様なものです。　　\n\n　なので解答を一言一句覚えるというよりかは寧ろ、解答の流れ、どこに着目したらそう解けるのか(対称性の利用、直角があるから座標設定、ベクトル利用)、必要十分性に気を配りながら読む、教科書には書いていない事が書いてあるコラムを読んで使える様にしてみる、と言ったことの方が大事です。特に京大を受けるなら必要十分性には気を配りましょう。\n　\n　自分も去年京大を受けました。本番では2問完答して3問半分くらい解いて出しましたが結局点数から見るに必要十分性の議論で誤りがあった問題はほとんど点数が来ていません。また、完答の京大で有名な様に京大は途中で出した解答、途中間違えがある解答はどれだけ解答の流れが合っていても点数をくれません。完答主義は特に求値問題で顕著でそういう意味でも≠0の議論などに気を配らないといけないので解答を覚えている時間はあまりないと思います。\n　\n　いくら日本語が拙くてもそこは受験生の解答ということで論理が合ってさえいれば点はくれるので上に挙げた数学的な内容に気を配りながらチャートを使うことをおすすめします。"}],["$","div",null,{"className":"flex 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