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19:T1103,まず、この時点でチャートの例題が解けるようになっているのは素晴らしいと思います👍
基礎力は着実についてきていると思うので全く悲観しなくて良いです。

どういう所で点を落としているのかわからないですが、どの分野も青チャートの例題はほぼ解ける状態だとすると、その先の訓練が少し足りていないのかなと思います。

具体的には「少しひねってあるが、青チャートレベルの基礎知識を上手く使えば解き切れる標準問題を見抜いて・解ききる力」をつけることです。

(ここでいう基礎知識というのは、青チャートの例題1つ1つが扱っているポイントのことです。)


入試問題は

🔆「青チャート例題レベルの基礎問題」

🔆「少しひねってあるが、青チャート例題レベルの基礎知識を組み合わせたり、発展させたりすれば解き切れる標準問題」

🔆「基礎知識だけでは解きにくく、最後に回すべき難問」

の３つに大別されます。

入試本番は全5問がどの種類なのかを見極め、解く順番を決めた上で、上記の基礎問題と標準問題を解けるところまで解き切る必要があります。

基礎問題はほとんどの受験者が解ききれ、標準問題はそれ以前の勉強によって差がつき、難問は極めて少数の人間しか試験時間内に解けないため、標準問題をどれだけ解けるかが勝負となります。


では先述の、「少しひねってあるが、青チャートレベルの基礎知識を上手く使えば解き切れる標準問題を見抜いて・解ききる力」をつけるには何をすれば良いのか？

その答えが過去問演習になります。

普通の参考書ではダメなのかと思うかもしれませんが、一般的に難しいとされている参考書は、ここでいう標準問題だけを集めたものが多いです。
なので、こういった参考書だけでは実際に入試で出る基礎問題や難問の手触りが学べません。

また、過去問と同じ問題は出ないと思われるかもしませんが、ポイントとなる部分が同じ、つまり傾向に沿った「似た」問題はよく出るので、過去問演習はとても効果的な志望校対策といえます。

早めに過去問演習を始めた方が、より早く自分の弱点に気づくことになり、余裕を持って対策を立てられるので、今から取り組み出して良いかと思います。


具体的な進め方ですが、はじめのうちは、得意な分野からでも、近い年度からセットで解いていっても、好きなように進めればいいと思います。（直前期の演習用に、最近の2、3年度分は残しておくことをお勧めします。）
時間制限も秋ごろまではかけなくていいと思います。

とにかく、

🔆その問題がどの種類の問題なのかを考える
（多くの過去問集には難易度指標がついているのでそれを参考にしてください。鉄緑のものが詳しくて良いと思います。）

🔆標準問題を通して基礎知識の応用方法を吸収していく
（重要なポイントをまとめているのはとてもいいと思います！自分も大事だと思ったところをルーズリーフに書き溜めていき、試験前にはファイリングしたものに目を通していました。）

🔆基礎問題や標準問題が解けなかった場合、どうして解けなかったのかを考え、次に同じようなところで詰まらないようにするにはどうすればいいか考える

🔆基礎知識の抜けに気付いた場合は、適宜チャートを見返したりして復習する

といったことを意識して進めてください。

注意点としては難問の復習に時間をかけすぎないことです。必要最低限の知識だけ吸収してとばしましょう。

色々と書きましたが、この辺りのことは「受験の叡智」という本に、より詳しく、説得力のある形で書かれているのでぜひ読んでみてください！1b:T11a6,こんにちは！RIZと申します。
今回は夏休みに一番時間をかけた数学で点数が取れなくて悔しいとは思いますが、間違えた問題についてはしっかり復習して、もし本番で出題された時に間違わないきっかけになったと前向きに捉えましょう！あくまで模試は練習ですからね。
さて、数学の学習方法についてですが、まず数学は3つ大事な要素があります。1つ目が計算能力です。これは言わずもがなですね。2つ目が解法パターンを覚えていることです。典型的な問題の解き方を知っているということですね。最後3つ目が思考法です。これはある問題に対する解法を考えるときの過程ですね。「なぜ」その解法で解くのかということです。
以上を踏まえて、今回の模試では何が不足していたから出来なかったのか考えましょう。例えば時間が足りなかったとすれば、計算が遅かったのか、解法を思いつくまでに時間がかかったのかなどが挙げられますし、単純に解き方がわからなかったとしたら、その時答えを見て理解できた場合は3つ目の思考法が足りなかったと考えられますし、もし答えを見ても理解できない場合は2つ目の解法パターンの把握がそもそもできていないことが考えられます。ここで不足点を洗い出して今後の学習の糧にしましょう。
以下では、上記の3つの要素のうち、特に意識しないと習得できないであろう3つ目の思考法にフォーカスしてお話しさせて頂きます。夏休みの学習で多くの時間を割いたということは、恐らく2つ目の基本的な問題の解法は頭に入っている状態だったけれども、模試などの初見の問題になると解けなくなるという状態ではないでしょうか。(もし違ったら申し訳ないですが、今回はその状態を前提にします。違う場合はコメント欄で教えてください。)この時今までの学習で見直してほしいのは、ある問題に対して、「なぜ」その解法で解くのかしっかり理解していたかということです。例えば「自然数に関してある命題を示せ」といった問題があった時にその問題が解けなかったとします。そこで解答を見ると、数学的帰納法で解いていたとします。こうなった時に、単純に解答で数学的帰納法が用いられていたから、こういう問題は数学的帰納法で解けばいいのかと理解するだけではいけません。なぜ数学的帰納法で解くのかを考える必要があります。それは今回の場合、自然数という条件かつ証明問題であることから、ひとまず数学的帰納法を疑ってみるという思考法が存在するからです。他にも図形問題が出てきたら、①幾何的(図形の性質)に解くのか、②座標に置いて解くのか、③ベクトルで解くのか、などを考えたり、といった思考法も存在します。これらの例はとても単純ですが、意外とこの「なぜ」といったところまで考えていない人が多いです。この場合、単純に解法を暗記しているだけなので、すでに解いた問題は解けるものの、類題になると手も足も出ないという状態にも陥りかねません。数学はこのように、ある具体的な事例から、抽象的な「思考法」を考えることがとても重要です。この思考法は一般的に使えるので、初見の問題でも条件から適切な解法を選択することができるようになります。なのでもし今回の模試が出来なかった理由が、この「思考法」という要素が欠けていたからであれば、今まで使っていたテキストなどを見直して、「なぜ」その解法で解いているのか説明できるようにしてみると良いと思います。
最後になりますが、阪大の文系数学は基礎的なレベルの問題が多いです。今からでも十分間に合います。まずは焦らずに自分が間違えた理由を分析して、特に「なぜ」を考えて勉強してみてください。ご質問等ありましたらコメント欄でお願いします！1c: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。
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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学のできる人"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初見の問題が解けるようになる数学の勉強法について話しますね。\n\nまず、初見の問題は大きく分けて2つあります。\n\n① 基本問題だが自分にとっては初見\n② 応用問題で多くの人にとって初見\n\nまず、①について\n基本問題の演習を繰り返し、基礎固めをしてください。\n具体的な方法は下に書いておきますね。\n\n次に、②について\n応用問題は基本問題の組み合わせです！\nなので、身についた基礎をどの場面でどう使うか考える練習をしましょう！\nこれも具体的な方法を下に書きますね。\n\n\n上の①②に対応する\n数学の『オススメ教材』と『オススメ勉強法』について紹介します。\n\nまず、『オススメ教材』ですが\n全範囲を満遍なくカバーし、数学の基礎力向上に最適な教材として\n・青チャート1A2B\nをオススメします！\n\n解答解説がしっかりしていて、\nなおかつ、問題を解くときの考え方まで紹介しているので、基礎固めはこの教材を何周もすれば十分です！\n\n基礎がしっかりできていれば、\n全国の受験生が受ける模試であれば\n偏差値60〜65程度は到達可能です。\n\n青チャートを完璧にすると\n模試の時にどれが基本問題でどれが応用問題かわかるようになりますよ！\n\n次に、青チャートが終わったならば\n今度は身についた基礎を使う練習\nつまり、応用問題を解くために基礎をどの場面でどう使うかを練習しましょう！\n\nこの演習用として\n・1対1対応の数学\n・プラチカ\n・やさしい理系数学\nなどがオススメです！\n\n次に『オススメ勉強法』ですが\n青チャートを使うかどうかに関わらず、\n問題の考え方や解答を理解した後に解答を見ずに\n最初から最後まで自力で再現してみることが大切です。\n\nここで、再現できないようであれば、\nまだまだ理解が足りてないということです。\n\nつまり、\n問題を解く\n↓\n考え方と解説を理解する\n↓\n解答を見ずに、自力で再度解く\n\nこの3つのことを繰り返すことで飛躍的に数学力が上がります！\n\nぜひ、実践してみてください！"}],["$","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":[["$","div",null,{"className":"mb-1","children":"何をすればいいかわからない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"質問者さんはかなり数学の実力が着いているのだと思います。あとは大学別の傾向というのがあるので、そこに対応できるかどうかだと思います。\n\n例えば、僕がいる九大は毎年必ず確率と複素数平面を出題している、という傾向があったため、毎日の勉強の際にはその2つを特に重点的にしていました。\n\nまた、九大は丁寧な誘導がある、ということで誘導の丁寧な問題がある別大学の過去問などを用いて対策もしていました。\n\nつまり、慶応や早稲田の傾向、形式に合わせて慣れていくのが1番だと思います。手っ取り早いのは過去問をめちゃくちゃ解きまくることです。\n\nまた、僕が九大を受けた際は例年と傾向も出題形式も変わり、かなり困惑しました。しかし、そもそもの数学力は身につけていたので突破出来ました。質問者さんは数学力はめちゃくちゃあるので、この部分は恐れなくて大丈夫ですが(そもそも私立は傾向変わりにくい)。\n\nメンタル面ですが、自分は傾向の対策さえ完璧にできれば実力はあるんだから受かる！と思い込むことの他ありません！また、偏差値や判定を見て一喜一憂するなといいますが、時々見て奮起するのがいいです。\n\n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 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　数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"青チャートだけですと基本的な問題(小問集合や各大問の前半部分)は解けても後半の応用問題を解くのは難しいでしょう。数学的なセンスがある人であれば青チャートだけでも解けるのかもしれませんが。。\n\n個人的には青チャートとは英語でいうと単語帳や文法書のようなイメージです。青チャートとは二次試験のような応用問題を解くための問題集ではなく基本的な問題の解法を身につけるためのものです。つまり共通テストであれば青チャートだけでも満点近く狙うことはできますが難関大学の二次試験となれば青チャートだけでは太刀打ちできません。\n\n応用問題を解くためには青チャートで身につけた基本問題の解法を組み合わせる、あるいは知っている解法が使えるように式変形、論理展開を進めていく必要があります。\n青チャートだけではこの力はほとんど身に付きませんので駿台模試で点数は期待できないです。\nこの力は二次試験レベルの問題集を解くことでしか身につけることはできないです。\n\n本題の青チャートの使い方に関してですが使い方は間違っていないと思います。全ての問題に関して問題文を読んでノータイムで解法が浮かぶレベルまで全ての問題を仕上げてください。そこまでして初めて応用問題への挑戦権が得られます。\n具体的な使い方は間違えたものを繰り返し解いて解答を自力で作成していくのがよいでしょう。\n\n頑張ってください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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mb-1","children":"慶應経済のものです。\n自分も数学受験ですのでお答えさせていただきますね。\n\nさていきなりですが、問題を解くときどのように解いていますか？もし、解く→答えを見る→採点する。これだけで終わっているなら伸びるわけがありません。『高校数学は暗記だ』などと言ってる人をたまに見かけますが、基本的に数学は理論です。解くだけではなく理解して初めて身につく力となる学問です。ですから解いて答えを見て採点した後に、じっくりと解説を読んでください。そしてじっくりと読んだ後、解説を見ずにもう一度問題を解いて、解説の解き方を再現できるようにしてください。この一手間を加えるだけでかなり理解度が変わってきます。\n\nそんなのもうやってる！って場合は、焦らないでください。もしこのやり方がきちんと出来ているならば身につかないはずがありません。それはただ問題の練習量がちょっと足りないだけです。でも今の時期からやれば必ず間に合います。だからこそ焦らないでください。精神的な話になってしまいますが、自分はできる、と思い続けることはかなり重要です。もしすぐに点が伸びなくて悩んでしまっても、『きちんとしたやり方でやってるから大丈夫。もう少し頑張れば必ず点は伸びる』と自分を信じてください。焦りや不安は自己嫌悪につながり大変よろしくないです。是非自分を信じてあげてください。\n\n最後に具体的なことになりますが、夏休みには一度自分の志望校の過去問を見ておくといいと思います。自分と志望校の距離が掴めますし、練習とは違った生の問題、本当の試験としての問題を見ておくことは今後の勉強のモチベーションに関しても学力向上に関しても重要です。また、志望校が早慶であるならば、日東駒専あたりの同じ学部、あるいは問題の出題範囲が似ている大学の過去問を解いて行くといいです。難易度が下がりますので志望校よりも簡単に解けるはずです。是非とも頑張ってください。\n\n心から応援しています"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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